Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 , This is too brain racking! LOL! I was pretty good when it came to anyhing that did with math.... but there are too many ways to distribute the money....like the riddle says. Sorry I'm not much help. Tracie > OK, I have a stupid riddle that I have to do for school and it is > worth 15 points. I can't get the answer and I was hoping that maybe > one of you could see something I don't... This is for a Liberal Arts > Math Class that I am taking online and I have already emailed the > instructor to ask for an additional hint and he won't give it to me > until I tell him the amount in the first 4 boxes! > > Thanks for your help... I will post the answer for you if I ever get > it! > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > THE BANKER'S DILEMMA > > > Once upon a time, a wealthy man decided to deposit some of his money > in a local bank. Being mathematically inclined and of the belief > that bankers also should be adept at math, he decided to present a > challenge to the banker and his staff. His challenge was as follows: > > > > He brought to the bank $1000 in one-dollar bills along with 10 empty > money boxes equipped with locks but no keys. (Each box was presently > open but once an amount of money was put into it and it was shut, no > one could open it except the wealthy man.) His instructions to the > banker were to distribute the dollar bills among the boxes (and then > shut them) in such a way that the banker could at some future time > give the wealthy man whatever amount of money he requested without > opening any of the boxes. > > > > In other words, the wealthy man could request a withdrawal of any > amount of dollars between $1 and $1000, inclusive, and the banker > would only be able to pick up some number of the locked boxes and > hand them to him without opening them or changing the amount of money > in them. The wealthy man will ask for an EXACT amount (such as $217) > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE and > NO LESS. > > > > The perplexed banker stood for quite a while staring blankly at the > boxes, having no idea as to how to proceed. No matter how he planned > it, it didn't seem to work out. Time wore on and the day grew late > and still the banker had no solution. He was beginning to wonder if > there even were a solution or if this were some sort of cruel hoax > initiated by the wealthy man. > > > > Before things get too much worse, can you please help the distraught > banker resolve this dilemma?? Please determine how to distribute the > dollar bills so as to satisfy the wealthy man's request. > > > > Extra credit: There are actually a number (albeit limited) of > different solutions to this dilemma. Find as many of these solutions > as possible. > > > I would encourage you to pursue this with persistence, since > persistence is a necessary ingredient for obtaining a solution. > However, if you are at your wit's end, you may read the hint below… > > > Hint: Your best strategy here is to be very logical, methodical, and > extremely (even ruthlessly) efficient. With only ten boxes at your > disposal, the amount in many of the boxes is critical. Since the > banker may return and ask for ANY amount of money, let's assume that > he asks for exactly $1. That means that you must have a box with > exactly $1 in it, no more and no less. > > > > Continuing with this line of reasoning, the banker may ask for > exactly $2. That means that you now have two choices: either have a > second box with exactly $1 in it, or have a second box with $2 in it. > Which is the better choice in terms of efficiency? > > > > If you decide to use two boxes each with $1, what happens if the > banker asks for exactly $3? Then you would need a third box with $1, > or a box with exactly $3. And remember, we're trying to be > ruthlessly efficient… > > > > I think that by now you might suspect the answer as to which is the > better choice. Try and follow this line of reasoning and see where > it leads you. If you are still having difficulty, send me an email > and I'll provide a further hint. > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 , This is too brain racking! LOL! I was pretty good when it came to anyhing that did with math.... but there are too many ways to distribute the money....like the riddle says. Sorry I'm not much help. Tracie > OK, I have a stupid riddle that I have to do for school and it is > worth 15 points. I can't get the answer and I was hoping that maybe > one of you could see something I don't... This is for a Liberal Arts > Math Class that I am taking online and I have already emailed the > instructor to ask for an additional hint and he won't give it to me > until I tell him the amount in the first 4 boxes! > > Thanks for your help... I will post the answer for you if I ever get > it! > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > THE BANKER'S DILEMMA > > > Once upon a time, a wealthy man decided to deposit some of his money > in a local bank. Being mathematically inclined and of the belief > that bankers also should be adept at math, he decided to present a > challenge to the banker and his staff. His challenge was as follows: > > > > He brought to the bank $1000 in one-dollar bills along with 10 empty > money boxes equipped with locks but no keys. (Each box was presently > open but once an amount of money was put into it and it was shut, no > one could open it except the wealthy man.) His instructions to the > banker were to distribute the dollar bills among the boxes (and then > shut them) in such a way that the banker could at some future time > give the wealthy man whatever amount of money he requested without > opening any of the boxes. > > > > In other words, the wealthy man could request a withdrawal of any > amount of dollars between $1 and $1000, inclusive, and the banker > would only be able to pick up some number of the locked boxes and > hand them to him without opening them or changing the amount of money > in them. The wealthy man will ask for an EXACT amount (such as $217) > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE and > NO LESS. > > > > The perplexed banker stood for quite a while staring blankly at the > boxes, having no idea as to how to proceed. No matter how he planned > it, it didn't seem to work out. Time wore on and the day grew late > and still the banker had no solution. He was beginning to wonder if > there even were a solution or if this were some sort of cruel hoax > initiated by the wealthy man. > > > > Before things get too much worse, can you please help the distraught > banker resolve this dilemma?? Please determine how to distribute the > dollar bills so as to satisfy the wealthy man's request. > > > > Extra credit: There are actually a number (albeit limited) of > different solutions to this dilemma. Find as many of these solutions > as possible. > > > I would encourage you to pursue this with persistence, since > persistence is a necessary ingredient for obtaining a solution. > However, if you are at your wit's end, you may read the hint below… > > > Hint: Your best strategy here is to be very logical, methodical, and > extremely (even ruthlessly) efficient. With only ten boxes at your > disposal, the amount in many of the boxes is critical. Since the > banker may return and ask for ANY amount of money, let's assume that > he asks for exactly $1. That means that you must have a box with > exactly $1 in it, no more and no less. > > > > Continuing with this line of reasoning, the banker may ask for > exactly $2. That means that you now have two choices: either have a > second box with exactly $1 in it, or have a second box with $2 in it. > Which is the better choice in terms of efficiency? > > > > If you decide to use two boxes each with $1, what happens if the > banker asks for exactly $3? Then you would need a third box with $1, > or a box with exactly $3. And remember, we're trying to be > ruthlessly efficient… > > > > I think that by now you might suspect the answer as to which is the > better choice. Try and follow this line of reasoning and see where > it leads you. If you are still having difficulty, send me an email > and I'll provide a further hint. > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 , This is too brain racking! LOL! I was pretty good when it came to anyhing that did with math.... but there are too many ways to distribute the money....like the riddle says. Sorry I'm not much help. Tracie > OK, I have a stupid riddle that I have to do for school and it is > worth 15 points. I can't get the answer and I was hoping that maybe > one of you could see something I don't... This is for a Liberal Arts > Math Class that I am taking online and I have already emailed the > instructor to ask for an additional hint and he won't give it to me > until I tell him the amount in the first 4 boxes! > > Thanks for your help... I will post the answer for you if I ever get > it! > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > THE BANKER'S DILEMMA > > > Once upon a time, a wealthy man decided to deposit some of his money > in a local bank. Being mathematically inclined and of the belief > that bankers also should be adept at math, he decided to present a > challenge to the banker and his staff. His challenge was as follows: > > > > He brought to the bank $1000 in one-dollar bills along with 10 empty > money boxes equipped with locks but no keys. (Each box was presently > open but once an amount of money was put into it and it was shut, no > one could open it except the wealthy man.) His instructions to the > banker were to distribute the dollar bills among the boxes (and then > shut them) in such a way that the banker could at some future time > give the wealthy man whatever amount of money he requested without > opening any of the boxes. > > > > In other words, the wealthy man could request a withdrawal of any > amount of dollars between $1 and $1000, inclusive, and the banker > would only be able to pick up some number of the locked boxes and > hand them to him without opening them or changing the amount of money > in them. The wealthy man will ask for an EXACT amount (such as $217) > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE and > NO LESS. > > > > The perplexed banker stood for quite a while staring blankly at the > boxes, having no idea as to how to proceed. No matter how he planned > it, it didn't seem to work out. Time wore on and the day grew late > and still the banker had no solution. He was beginning to wonder if > there even were a solution or if this were some sort of cruel hoax > initiated by the wealthy man. > > > > Before things get too much worse, can you please help the distraught > banker resolve this dilemma?? Please determine how to distribute the > dollar bills so as to satisfy the wealthy man's request. > > > > Extra credit: There are actually a number (albeit limited) of > different solutions to this dilemma. Find as many of these solutions > as possible. > > > I would encourage you to pursue this with persistence, since > persistence is a necessary ingredient for obtaining a solution. > However, if you are at your wit's end, you may read the hint below… > > > Hint: Your best strategy here is to be very logical, methodical, and > extremely (even ruthlessly) efficient. With only ten boxes at your > disposal, the amount in many of the boxes is critical. Since the > banker may return and ask for ANY amount of money, let's assume that > he asks for exactly $1. That means that you must have a box with > exactly $1 in it, no more and no less. > > > > Continuing with this line of reasoning, the banker may ask for > exactly $2. That means that you now have two choices: either have a > second box with exactly $1 in it, or have a second box with $2 in it. > Which is the better choice in terms of efficiency? > > > > If you decide to use two boxes each with $1, what happens if the > banker asks for exactly $3? Then you would need a third box with $1, > or a box with exactly $3. And remember, we're trying to be > ruthlessly efficient… > > > > I think that by now you might suspect the answer as to which is the > better choice. Try and follow this line of reasoning and see where > it leads you. If you are still having difficulty, send me an email > and I'll provide a further hint. > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 Thanks for trying Tracie! Hugs, > > OK, I have a stupid riddle that I have to do for school and it is > > worth 15 points. I can't get the answer and I was hoping that > maybe > > one of you could see something I don't... This is for a Liberal > Arts > > Math Class that I am taking online and I have already emailed the > > instructor to ask for an additional hint and he won't give it to me > > until I tell him the amount in the first 4 boxes! > > > > Thanks for your help... I will post the answer for you if I ever > get > > it! > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > THE BANKER'S DILEMMA > > > > > > Once upon a time, a wealthy man decided to deposit some of his > money > > in a local bank. Being mathematically inclined and of the belief > > that bankers also should be adept at math, he decided to present a > > challenge to the banker and his staff. His challenge was as > follows: > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > empty > > money boxes equipped with locks but no keys. (Each box was > presently > > open but once an amount of money was put into it and it was shut, > no > > one could open it except the wealthy man.) His instructions to the > > banker were to distribute the dollar bills among the boxes (and > then > > shut them) in such a way that the banker could at some future time > > give the wealthy man whatever amount of money he requested without > > opening any of the boxes. > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > amount of dollars between $1 and $1000, inclusive, and the banker > > would only be able to pick up some number of the locked boxes and > > hand them to him without opening them or changing the amount of > money > > in them. The wealthy man will ask for an EXACT amount (such as > $217) > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > and > > NO LESS. > > > > > > > > The perplexed banker stood for quite a while staring blankly at the > > boxes, having no idea as to how to proceed. No matter how he > planned > > it, it didn't seem to work out. Time wore on and the day grew late > > and still the banker had no solution. He was beginning to wonder > if > > there even were a solution or if this were some sort of cruel hoax > > initiated by the wealthy man. > > > > > > > > Before things get too much worse, can you please help the > distraught > > banker resolve this dilemma?? Please determine how to distribute > the > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > different solutions to this dilemma. Find as many of these > solutions > > as possible. > > > > > > I would encourage you to pursue this with persistence, since > > persistence is a necessary ingredient for obtaining a solution. > > However, if you are at your wit's end, you may read the hint > below… > > > > > > Hint: Your best strategy here is to be very logical, methodical, > and > > extremely (even ruthlessly) efficient. With only ten boxes at your > > disposal, the amount in many of the boxes is critical. Since the > > banker may return and ask for ANY amount of money, let's assume > that > > he asks for exactly $1. That means that you must have a box with > > exactly $1 in it, no more and no less. > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > exactly $2. That means that you now have two choices: either have > a > > second box with exactly $1 in it, or have a second box with $2 in > it. > > Which is the better choice in terms of efficiency? > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > banker asks for exactly $3? Then you would need a third box with > $1, > > or a box with exactly $3. And remember, we're trying to be > > ruthlessly efficient… > > > > > > > > I think that by now you might suspect the answer as to which is the > > better choice. Try and follow this line of reasoning and see where > > it leads you. If you are still having difficulty, send me an email > > and I'll provide a further hint. > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 Thanks for trying Tracie! Hugs, > > OK, I have a stupid riddle that I have to do for school and it is > > worth 15 points. I can't get the answer and I was hoping that > maybe > > one of you could see something I don't... This is for a Liberal > Arts > > Math Class that I am taking online and I have already emailed the > > instructor to ask for an additional hint and he won't give it to me > > until I tell him the amount in the first 4 boxes! > > > > Thanks for your help... I will post the answer for you if I ever > get > > it! > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > THE BANKER'S DILEMMA > > > > > > Once upon a time, a wealthy man decided to deposit some of his > money > > in a local bank. Being mathematically inclined and of the belief > > that bankers also should be adept at math, he decided to present a > > challenge to the banker and his staff. His challenge was as > follows: > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > empty > > money boxes equipped with locks but no keys. (Each box was > presently > > open but once an amount of money was put into it and it was shut, > no > > one could open it except the wealthy man.) His instructions to the > > banker were to distribute the dollar bills among the boxes (and > then > > shut them) in such a way that the banker could at some future time > > give the wealthy man whatever amount of money he requested without > > opening any of the boxes. > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > amount of dollars between $1 and $1000, inclusive, and the banker > > would only be able to pick up some number of the locked boxes and > > hand them to him without opening them or changing the amount of > money > > in them. The wealthy man will ask for an EXACT amount (such as > $217) > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > and > > NO LESS. > > > > > > > > The perplexed banker stood for quite a while staring blankly at the > > boxes, having no idea as to how to proceed. No matter how he > planned > > it, it didn't seem to work out. Time wore on and the day grew late > > and still the banker had no solution. He was beginning to wonder > if > > there even were a solution or if this were some sort of cruel hoax > > initiated by the wealthy man. > > > > > > > > Before things get too much worse, can you please help the > distraught > > banker resolve this dilemma?? Please determine how to distribute > the > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > different solutions to this dilemma. Find as many of these > solutions > > as possible. > > > > > > I would encourage you to pursue this with persistence, since > > persistence is a necessary ingredient for obtaining a solution. > > However, if you are at your wit's end, you may read the hint > below… > > > > > > Hint: Your best strategy here is to be very logical, methodical, > and > > extremely (even ruthlessly) efficient. With only ten boxes at your > > disposal, the amount in many of the boxes is critical. Since the > > banker may return and ask for ANY amount of money, let's assume > that > > he asks for exactly $1. That means that you must have a box with > > exactly $1 in it, no more and no less. > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > exactly $2. That means that you now have two choices: either have > a > > second box with exactly $1 in it, or have a second box with $2 in > it. > > Which is the better choice in terms of efficiency? > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > banker asks for exactly $3? Then you would need a third box with > $1, > > or a box with exactly $3. And remember, we're trying to be > > ruthlessly efficient… > > > > > > > > I think that by now you might suspect the answer as to which is the > > better choice. Try and follow this line of reasoning and see where > > it leads you. If you are still having difficulty, send me an email > > and I'll provide a further hint. > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 Thanks for trying Tracie! Hugs, > > OK, I have a stupid riddle that I have to do for school and it is > > worth 15 points. I can't get the answer and I was hoping that > maybe > > one of you could see something I don't... This is for a Liberal > Arts > > Math Class that I am taking online and I have already emailed the > > instructor to ask for an additional hint and he won't give it to me > > until I tell him the amount in the first 4 boxes! > > > > Thanks for your help... I will post the answer for you if I ever > get > > it! > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > THE BANKER'S DILEMMA > > > > > > Once upon a time, a wealthy man decided to deposit some of his > money > > in a local bank. Being mathematically inclined and of the belief > > that bankers also should be adept at math, he decided to present a > > challenge to the banker and his staff. His challenge was as > follows: > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > empty > > money boxes equipped with locks but no keys. (Each box was > presently > > open but once an amount of money was put into it and it was shut, > no > > one could open it except the wealthy man.) His instructions to the > > banker were to distribute the dollar bills among the boxes (and > then > > shut them) in such a way that the banker could at some future time > > give the wealthy man whatever amount of money he requested without > > opening any of the boxes. > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > amount of dollars between $1 and $1000, inclusive, and the banker > > would only be able to pick up some number of the locked boxes and > > hand them to him without opening them or changing the amount of > money > > in them. The wealthy man will ask for an EXACT amount (such as > $217) > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > and > > NO LESS. > > > > > > > > The perplexed banker stood for quite a while staring blankly at the > > boxes, having no idea as to how to proceed. No matter how he > planned > > it, it didn't seem to work out. Time wore on and the day grew late > > and still the banker had no solution. He was beginning to wonder > if > > there even were a solution or if this were some sort of cruel hoax > > initiated by the wealthy man. > > > > > > > > Before things get too much worse, can you please help the > distraught > > banker resolve this dilemma?? Please determine how to distribute > the > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > different solutions to this dilemma. Find as many of these > solutions > > as possible. > > > > > > I would encourage you to pursue this with persistence, since > > persistence is a necessary ingredient for obtaining a solution. > > However, if you are at your wit's end, you may read the hint > below… > > > > > > Hint: Your best strategy here is to be very logical, methodical, > and > > extremely (even ruthlessly) efficient. With only ten boxes at your > > disposal, the amount in many of the boxes is critical. Since the > > banker may return and ask for ANY amount of money, let's assume > that > > he asks for exactly $1. That means that you must have a box with > > exactly $1 in it, no more and no less. > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > exactly $2. That means that you now have two choices: either have > a > > second box with exactly $1 in it, or have a second box with $2 in > it. > > Which is the better choice in terms of efficiency? > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > banker asks for exactly $3? Then you would need a third box with > $1, > > or a box with exactly $3. And remember, we're trying to be > > ruthlessly efficient… > > > > > > > > I think that by now you might suspect the answer as to which is the > > better choice. Try and follow this line of reasoning and see where > > it leads you. If you are still having difficulty, send me an email > > and I'll provide a further hint. > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 Blank Money orders or Cashiers checks in each box not to exceed $1,000.00. Hows that? Toni in super hot Colorado > OK, I have a stupid riddle that I have to do for school and it is > worth 15 points. I can't get the answer and I was hoping that maybe > one of you could see something I don't... This is for a Liberal Arts > Math Class that I am taking online and I have already emailed the > instructor to ask for an additional hint and he won't give it to me > until I tell him the amount in the first 4 boxes! > > Thanks for your help... I will post the answer for you if I ever get > it! > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > THE BANKER'S DILEMMA > > > Once upon a time, a wealthy man decided to deposit some of his money > in a local bank. Being mathematically inclined and of the belief > that bankers also should be adept at math, he decided to present a > challenge to the banker and his staff. His challenge was as follows: > > > > He brought to the bank $1000 in one-dollar bills along with 10 empty > money boxes equipped with locks but no keys. (Each box was presently > open but once an amount of money was put into it and it was shut, no > one could open it except the wealthy man.) His instructions to the > banker were to distribute the dollar bills among the boxes (and then > shut them) in such a way that the banker could at some future time > give the wealthy man whatever amount of money he requested without > opening any of the boxes. > > > > In other words, the wealthy man could request a withdrawal of any > amount of dollars between $1 and $1000, inclusive, and the banker > would only be able to pick up some number of the locked boxes and > hand them to him without opening them or changing the amount of money > in them. The wealthy man will ask for an EXACT amount (such as $217) > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE and > NO LESS. > > > > The perplexed banker stood for quite a while staring blankly at the > boxes, having no idea as to how to proceed. No matter how he planned > it, it didn't seem to work out. Time wore on and the day grew late > and still the banker had no solution. He was beginning to wonder if > there even were a solution or if this were some sort of cruel hoax > initiated by the wealthy man. > > > > Before things get too much worse, can you please help the distraught > banker resolve this dilemma?? Please determine how to distribute the > dollar bills so as to satisfy the wealthy man's request. > > > > Extra credit: There are actually a number (albeit limited) of > different solutions to this dilemma. Find as many of these solutions > as possible. > > > I would encourage you to pursue this with persistence, since > persistence is a necessary ingredient for obtaining a solution. > However, if you are at your wit's end, you may read the hint below… > > > Hint: Your best strategy here is to be very logical, methodical, and > extremely (even ruthlessly) efficient. With only ten boxes at your > disposal, the amount in many of the boxes is critical. Since the > banker may return and ask for ANY amount of money, let's assume that > he asks for exactly $1. That means that you must have a box with > exactly $1 in it, no more and no less. > > > > Continuing with this line of reasoning, the banker may ask for > exactly $2. That means that you now have two choices: either have a > second box with exactly $1 in it, or have a second box with $2 in it. > Which is the better choice in terms of efficiency? > > > > If you decide to use two boxes each with $1, what happens if the > banker asks for exactly $3? Then you would need a third box with $1, > or a box with exactly $3. And remember, we're trying to be > ruthlessly efficient… > > > > I think that by now you might suspect the answer as to which is the > better choice. Try and follow this line of reasoning and see where > it leads you. If you are still having difficulty, send me an email > and I'll provide a further hint. > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 Blank Money orders or Cashiers checks in each box not to exceed $1,000.00. Hows that? Toni in super hot Colorado > OK, I have a stupid riddle that I have to do for school and it is > worth 15 points. I can't get the answer and I was hoping that maybe > one of you could see something I don't... This is for a Liberal Arts > Math Class that I am taking online and I have already emailed the > instructor to ask for an additional hint and he won't give it to me > until I tell him the amount in the first 4 boxes! > > Thanks for your help... I will post the answer for you if I ever get > it! > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > THE BANKER'S DILEMMA > > > Once upon a time, a wealthy man decided to deposit some of his money > in a local bank. Being mathematically inclined and of the belief > that bankers also should be adept at math, he decided to present a > challenge to the banker and his staff. His challenge was as follows: > > > > He brought to the bank $1000 in one-dollar bills along with 10 empty > money boxes equipped with locks but no keys. (Each box was presently > open but once an amount of money was put into it and it was shut, no > one could open it except the wealthy man.) His instructions to the > banker were to distribute the dollar bills among the boxes (and then > shut them) in such a way that the banker could at some future time > give the wealthy man whatever amount of money he requested without > opening any of the boxes. > > > > In other words, the wealthy man could request a withdrawal of any > amount of dollars between $1 and $1000, inclusive, and the banker > would only be able to pick up some number of the locked boxes and > hand them to him without opening them or changing the amount of money > in them. The wealthy man will ask for an EXACT amount (such as $217) > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE and > NO LESS. > > > > The perplexed banker stood for quite a while staring blankly at the > boxes, having no idea as to how to proceed. No matter how he planned > it, it didn't seem to work out. Time wore on and the day grew late > and still the banker had no solution. He was beginning to wonder if > there even were a solution or if this were some sort of cruel hoax > initiated by the wealthy man. > > > > Before things get too much worse, can you please help the distraught > banker resolve this dilemma?? Please determine how to distribute the > dollar bills so as to satisfy the wealthy man's request. > > > > Extra credit: There are actually a number (albeit limited) of > different solutions to this dilemma. Find as many of these solutions > as possible. > > > I would encourage you to pursue this with persistence, since > persistence is a necessary ingredient for obtaining a solution. > However, if you are at your wit's end, you may read the hint below… > > > Hint: Your best strategy here is to be very logical, methodical, and > extremely (even ruthlessly) efficient. With only ten boxes at your > disposal, the amount in many of the boxes is critical. Since the > banker may return and ask for ANY amount of money, let's assume that > he asks for exactly $1. That means that you must have a box with > exactly $1 in it, no more and no less. > > > > Continuing with this line of reasoning, the banker may ask for > exactly $2. That means that you now have two choices: either have a > second box with exactly $1 in it, or have a second box with $2 in it. > Which is the better choice in terms of efficiency? > > > > If you decide to use two boxes each with $1, what happens if the > banker asks for exactly $3? Then you would need a third box with $1, > or a box with exactly $3. And remember, we're trying to be > ruthlessly efficient… > > > > I think that by now you might suspect the answer as to which is the > better choice. Try and follow this line of reasoning and see where > it leads you. If you are still having difficulty, send me an email > and I'll provide a further hint. > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 Blank Money orders or Cashiers checks in each box not to exceed $1,000.00. Hows that? Toni in super hot Colorado > OK, I have a stupid riddle that I have to do for school and it is > worth 15 points. I can't get the answer and I was hoping that maybe > one of you could see something I don't... This is for a Liberal Arts > Math Class that I am taking online and I have already emailed the > instructor to ask for an additional hint and he won't give it to me > until I tell him the amount in the first 4 boxes! > > Thanks for your help... I will post the answer for you if I ever get > it! > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > THE BANKER'S DILEMMA > > > Once upon a time, a wealthy man decided to deposit some of his money > in a local bank. Being mathematically inclined and of the belief > that bankers also should be adept at math, he decided to present a > challenge to the banker and his staff. His challenge was as follows: > > > > He brought to the bank $1000 in one-dollar bills along with 10 empty > money boxes equipped with locks but no keys. (Each box was presently > open but once an amount of money was put into it and it was shut, no > one could open it except the wealthy man.) His instructions to the > banker were to distribute the dollar bills among the boxes (and then > shut them) in such a way that the banker could at some future time > give the wealthy man whatever amount of money he requested without > opening any of the boxes. > > > > In other words, the wealthy man could request a withdrawal of any > amount of dollars between $1 and $1000, inclusive, and the banker > would only be able to pick up some number of the locked boxes and > hand them to him without opening them or changing the amount of money > in them. The wealthy man will ask for an EXACT amount (such as $217) > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE and > NO LESS. > > > > The perplexed banker stood for quite a while staring blankly at the > boxes, having no idea as to how to proceed. No matter how he planned > it, it didn't seem to work out. Time wore on and the day grew late > and still the banker had no solution. He was beginning to wonder if > there even were a solution or if this were some sort of cruel hoax > initiated by the wealthy man. > > > > Before things get too much worse, can you please help the distraught > banker resolve this dilemma?? Please determine how to distribute the > dollar bills so as to satisfy the wealthy man's request. > > > > Extra credit: There are actually a number (albeit limited) of > different solutions to this dilemma. Find as many of these solutions > as possible. > > > I would encourage you to pursue this with persistence, since > persistence is a necessary ingredient for obtaining a solution. > However, if you are at your wit's end, you may read the hint below… > > > Hint: Your best strategy here is to be very logical, methodical, and > extremely (even ruthlessly) efficient. With only ten boxes at your > disposal, the amount in many of the boxes is critical. Since the > banker may return and ask for ANY amount of money, let's assume that > he asks for exactly $1. That means that you must have a box with > exactly $1 in it, no more and no less. > > > > Continuing with this line of reasoning, the banker may ask for > exactly $2. That means that you now have two choices: either have a > second box with exactly $1 in it, or have a second box with $2 in it. > Which is the better choice in terms of efficiency? > > > > If you decide to use two boxes each with $1, what happens if the > banker asks for exactly $3? Then you would need a third box with $1, > or a box with exactly $3. And remember, we're trying to be > ruthlessly efficient… > > > > I think that by now you might suspect the answer as to which is the > better choice. Try and follow this line of reasoning and see where > it leads you. If you are still having difficulty, send me an email > and I'll provide a further hint. > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 ROFL!!!!! I may just turn in your answer as " one of the solutions " Maybe even extra credit! Thanks! Hugs, > > OK, I have a stupid riddle that I have to do for school and it is > > worth 15 points. I can't get the answer and I was hoping that > maybe > > one of you could see something I don't... This is for a Liberal > Arts > > Math Class that I am taking online and I have already emailed the > > instructor to ask for an additional hint and he won't give it to me > > until I tell him the amount in the first 4 boxes! > > > > Thanks for your help... I will post the answer for you if I ever > get > > it! > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > THE BANKER'S DILEMMA > > > > > > Once upon a time, a wealthy man decided to deposit some of his > money > > in a local bank. Being mathematically inclined and of the belief > > that bankers also should be adept at math, he decided to present a > > challenge to the banker and his staff. His challenge was as > follows: > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > empty > > money boxes equipped with locks but no keys. (Each box was > presently > > open but once an amount of money was put into it and it was shut, > no > > one could open it except the wealthy man.) His instructions to the > > banker were to distribute the dollar bills among the boxes (and > then > > shut them) in such a way that the banker could at some future time > > give the wealthy man whatever amount of money he requested without > > opening any of the boxes. > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > amount of dollars between $1 and $1000, inclusive, and the banker > > would only be able to pick up some number of the locked boxes and > > hand them to him without opening them or changing the amount of > money > > in them. The wealthy man will ask for an EXACT amount (such as > $217) > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > and > > NO LESS. > > > > > > > > The perplexed banker stood for quite a while staring blankly at the > > boxes, having no idea as to how to proceed. No matter how he > planned > > it, it didn't seem to work out. Time wore on and the day grew late > > and still the banker had no solution. He was beginning to wonder > if > > there even were a solution or if this were some sort of cruel hoax > > initiated by the wealthy man. > > > > > > > > Before things get too much worse, can you please help the > distraught > > banker resolve this dilemma?? Please determine how to distribute > the > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > different solutions to this dilemma. Find as many of these > solutions > > as possible. > > > > > > I would encourage you to pursue this with persistence, since > > persistence is a necessary ingredient for obtaining a solution. > > However, if you are at your wit's end, you may read the hint > below… > > > > > > Hint: Your best strategy here is to be very logical, methodical, > and > > extremely (even ruthlessly) efficient. With only ten boxes at your > > disposal, the amount in many of the boxes is critical. Since the > > banker may return and ask for ANY amount of money, let's assume > that > > he asks for exactly $1. That means that you must have a box with > > exactly $1 in it, no more and no less. > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > exactly $2. That means that you now have two choices: either have > a > > second box with exactly $1 in it, or have a second box with $2 in > it. > > Which is the better choice in terms of efficiency? > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > banker asks for exactly $3? Then you would need a third box with > $1, > > or a box with exactly $3. And remember, we're trying to be > > ruthlessly efficient… > > > > > > > > I think that by now you might suspect the answer as to which is the > > better choice. Try and follow this line of reasoning and see where > > it leads you. If you are still having difficulty, send me an email > > and I'll provide a further hint. > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 ROFL!!!!! I may just turn in your answer as " one of the solutions " Maybe even extra credit! Thanks! Hugs, > > OK, I have a stupid riddle that I have to do for school and it is > > worth 15 points. I can't get the answer and I was hoping that > maybe > > one of you could see something I don't... This is for a Liberal > Arts > > Math Class that I am taking online and I have already emailed the > > instructor to ask for an additional hint and he won't give it to me > > until I tell him the amount in the first 4 boxes! > > > > Thanks for your help... I will post the answer for you if I ever > get > > it! > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > THE BANKER'S DILEMMA > > > > > > Once upon a time, a wealthy man decided to deposit some of his > money > > in a local bank. Being mathematically inclined and of the belief > > that bankers also should be adept at math, he decided to present a > > challenge to the banker and his staff. His challenge was as > follows: > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > empty > > money boxes equipped with locks but no keys. (Each box was > presently > > open but once an amount of money was put into it and it was shut, > no > > one could open it except the wealthy man.) His instructions to the > > banker were to distribute the dollar bills among the boxes (and > then > > shut them) in such a way that the banker could at some future time > > give the wealthy man whatever amount of money he requested without > > opening any of the boxes. > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > amount of dollars between $1 and $1000, inclusive, and the banker > > would only be able to pick up some number of the locked boxes and > > hand them to him without opening them or changing the amount of > money > > in them. The wealthy man will ask for an EXACT amount (such as > $217) > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > and > > NO LESS. > > > > > > > > The perplexed banker stood for quite a while staring blankly at the > > boxes, having no idea as to how to proceed. No matter how he > planned > > it, it didn't seem to work out. Time wore on and the day grew late > > and still the banker had no solution. He was beginning to wonder > if > > there even were a solution or if this were some sort of cruel hoax > > initiated by the wealthy man. > > > > > > > > Before things get too much worse, can you please help the > distraught > > banker resolve this dilemma?? Please determine how to distribute > the > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > different solutions to this dilemma. Find as many of these > solutions > > as possible. > > > > > > I would encourage you to pursue this with persistence, since > > persistence is a necessary ingredient for obtaining a solution. > > However, if you are at your wit's end, you may read the hint > below… > > > > > > Hint: Your best strategy here is to be very logical, methodical, > and > > extremely (even ruthlessly) efficient. With only ten boxes at your > > disposal, the amount in many of the boxes is critical. Since the > > banker may return and ask for ANY amount of money, let's assume > that > > he asks for exactly $1. That means that you must have a box with > > exactly $1 in it, no more and no less. > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > exactly $2. That means that you now have two choices: either have > a > > second box with exactly $1 in it, or have a second box with $2 in > it. > > Which is the better choice in terms of efficiency? > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > banker asks for exactly $3? Then you would need a third box with > $1, > > or a box with exactly $3. And remember, we're trying to be > > ruthlessly efficient… > > > > > > > > I think that by now you might suspect the answer as to which is the > > better choice. Try and follow this line of reasoning and see where > > it leads you. If you are still having difficulty, send me an email > > and I'll provide a further hint. > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 WTG, Jess! I haven't even had time to think about it yet. Re: OT - Very Long Thanks for trying Tracie! Hugs, > > OK, I have a stupid riddle that I have to do for school and it is > > worth 15 points. I can't get the answer and I was hoping that > maybe > > one of you could see something I don't... This is for a Liberal > Arts > > Math Class that I am taking online and I have already emailed the > > instructor to ask for an additional hint and he won't give it to me > > until I tell him the amount in the first 4 boxes! > > > > Thanks for your help... I will post the answer for you if I ever > get > > it! > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > THE BANKER'S DILEMMA > > > > > > Once upon a time, a wealthy man decided to deposit some of his > money > > in a local bank. Being mathematically inclined and of the belief > > that bankers also should be adept at math, he decided to present a > > challenge to the banker and his staff. His challenge was as > follows: > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > empty > > money boxes equipped with locks but no keys. (Each box was > presently > > open but once an amount of money was put into it and it was shut, > no > > one could open it except the wealthy man.) His instructions to the > > banker were to distribute the dollar bills among the boxes (and > then > > shut them) in such a way that the banker could at some future time > > give the wealthy man whatever amount of money he requested without > > opening any of the boxes. > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > amount of dollars between $1 and $1000, inclusive, and the banker > > would only be able to pick up some number of the locked boxes and > > hand them to him without opening them or changing the amount of > money > > in them. The wealthy man will ask for an EXACT amount (such as > $217) > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > and > > NO LESS. > > > > > > > > The perplexed banker stood for quite a while staring blankly at the > > boxes, having no idea as to how to proceed. No matter how he > planned > > it, it didn't seem to work out. Time wore on and the day grew late > > and still the banker had no solution. He was beginning to wonder > if > > there even were a solution or if this were some sort of cruel hoax > > initiated by the wealthy man. > > > > > > > > Before things get too much worse, can you please help the > distraught > > banker resolve this dilemma?? Please determine how to distribute > the > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > different solutions to this dilemma. Find as many of these > solutions > > as possible. > > > > > > I would encourage you to pursue this with persistence, since > > persistence is a necessary ingredient for obtaining a solution. > > However, if you are at your wit's end, you may read the hint > below. > > > > > > Hint: Your best strategy here is to be very logical, methodical, > and > > extremely (even ruthlessly) efficient. With only ten boxes at your > > disposal, the amount in many of the boxes is critical. Since the > > banker may return and ask for ANY amount of money, let's assume > that > > he asks for exactly $1. That means that you must have a box with > > exactly $1 in it, no more and no less. > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > exactly $2. That means that you now have two choices: either have > a > > second box with exactly $1 in it, or have a second box with $2 in > it. > > Which is the better choice in terms of efficiency? > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > banker asks for exactly $3? Then you would need a third box with > $1, > > or a box with exactly $3. And remember, we're trying to be > > ruthlessly efficient. > > > > > > > > I think that by now you might suspect the answer as to which is the > > better choice. Try and follow this line of reasoning and see where > > it leads you. If you are still having difficulty, send me an email > > and I'll provide a further hint. > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 WTG, Jess! I haven't even had time to think about it yet. Re: OT - Very Long Thanks for trying Tracie! Hugs, > > OK, I have a stupid riddle that I have to do for school and it is > > worth 15 points. I can't get the answer and I was hoping that > maybe > > one of you could see something I don't... This is for a Liberal > Arts > > Math Class that I am taking online and I have already emailed the > > instructor to ask for an additional hint and he won't give it to me > > until I tell him the amount in the first 4 boxes! > > > > Thanks for your help... I will post the answer for you if I ever > get > > it! > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > THE BANKER'S DILEMMA > > > > > > Once upon a time, a wealthy man decided to deposit some of his > money > > in a local bank. Being mathematically inclined and of the belief > > that bankers also should be adept at math, he decided to present a > > challenge to the banker and his staff. His challenge was as > follows: > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > empty > > money boxes equipped with locks but no keys. (Each box was > presently > > open but once an amount of money was put into it and it was shut, > no > > one could open it except the wealthy man.) His instructions to the > > banker were to distribute the dollar bills among the boxes (and > then > > shut them) in such a way that the banker could at some future time > > give the wealthy man whatever amount of money he requested without > > opening any of the boxes. > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > amount of dollars between $1 and $1000, inclusive, and the banker > > would only be able to pick up some number of the locked boxes and > > hand them to him without opening them or changing the amount of > money > > in them. The wealthy man will ask for an EXACT amount (such as > $217) > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > and > > NO LESS. > > > > > > > > The perplexed banker stood for quite a while staring blankly at the > > boxes, having no idea as to how to proceed. No matter how he > planned > > it, it didn't seem to work out. Time wore on and the day grew late > > and still the banker had no solution. He was beginning to wonder > if > > there even were a solution or if this were some sort of cruel hoax > > initiated by the wealthy man. > > > > > > > > Before things get too much worse, can you please help the > distraught > > banker resolve this dilemma?? Please determine how to distribute > the > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > different solutions to this dilemma. Find as many of these > solutions > > as possible. > > > > > > I would encourage you to pursue this with persistence, since > > persistence is a necessary ingredient for obtaining a solution. > > However, if you are at your wit's end, you may read the hint > below. > > > > > > Hint: Your best strategy here is to be very logical, methodical, > and > > extremely (even ruthlessly) efficient. With only ten boxes at your > > disposal, the amount in many of the boxes is critical. Since the > > banker may return and ask for ANY amount of money, let's assume > that > > he asks for exactly $1. That means that you must have a box with > > exactly $1 in it, no more and no less. > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > exactly $2. That means that you now have two choices: either have > a > > second box with exactly $1 in it, or have a second box with $2 in > it. > > Which is the better choice in terms of efficiency? > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > banker asks for exactly $3? Then you would need a third box with > $1, > > or a box with exactly $3. And remember, we're trying to be > > ruthlessly efficient. > > > > > > > > I think that by now you might suspect the answer as to which is the > > better choice. Try and follow this line of reasoning and see where > > it leads you. If you are still having difficulty, send me an email > > and I'll provide a further hint. > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 WTG, Jess! I haven't even had time to think about it yet. Re: OT - Very Long Thanks for trying Tracie! Hugs, > > OK, I have a stupid riddle that I have to do for school and it is > > worth 15 points. I can't get the answer and I was hoping that > maybe > > one of you could see something I don't... This is for a Liberal > Arts > > Math Class that I am taking online and I have already emailed the > > instructor to ask for an additional hint and he won't give it to me > > until I tell him the amount in the first 4 boxes! > > > > Thanks for your help... I will post the answer for you if I ever > get > > it! > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > THE BANKER'S DILEMMA > > > > > > Once upon a time, a wealthy man decided to deposit some of his > money > > in a local bank. Being mathematically inclined and of the belief > > that bankers also should be adept at math, he decided to present a > > challenge to the banker and his staff. His challenge was as > follows: > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > empty > > money boxes equipped with locks but no keys. (Each box was > presently > > open but once an amount of money was put into it and it was shut, > no > > one could open it except the wealthy man.) His instructions to the > > banker were to distribute the dollar bills among the boxes (and > then > > shut them) in such a way that the banker could at some future time > > give the wealthy man whatever amount of money he requested without > > opening any of the boxes. > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > amount of dollars between $1 and $1000, inclusive, and the banker > > would only be able to pick up some number of the locked boxes and > > hand them to him without opening them or changing the amount of > money > > in them. The wealthy man will ask for an EXACT amount (such as > $217) > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > and > > NO LESS. > > > > > > > > The perplexed banker stood for quite a while staring blankly at the > > boxes, having no idea as to how to proceed. No matter how he > planned > > it, it didn't seem to work out. Time wore on and the day grew late > > and still the banker had no solution. He was beginning to wonder > if > > there even were a solution or if this were some sort of cruel hoax > > initiated by the wealthy man. > > > > > > > > Before things get too much worse, can you please help the > distraught > > banker resolve this dilemma?? Please determine how to distribute > the > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > different solutions to this dilemma. Find as many of these > solutions > > as possible. > > > > > > I would encourage you to pursue this with persistence, since > > persistence is a necessary ingredient for obtaining a solution. > > However, if you are at your wit's end, you may read the hint > below. > > > > > > Hint: Your best strategy here is to be very logical, methodical, > and > > extremely (even ruthlessly) efficient. With only ten boxes at your > > disposal, the amount in many of the boxes is critical. Since the > > banker may return and ask for ANY amount of money, let's assume > that > > he asks for exactly $1. That means that you must have a box with > > exactly $1 in it, no more and no less. > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > exactly $2. That means that you now have two choices: either have > a > > second box with exactly $1 in it, or have a second box with $2 in > it. > > Which is the better choice in terms of efficiency? > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > banker asks for exactly $3? Then you would need a third box with > $1, > > or a box with exactly $3. And remember, we're trying to be > > ruthlessly efficient. > > > > > > > > I think that by now you might suspect the answer as to which is the > > better choice. Try and follow this line of reasoning and see where > > it leads you. If you are still having difficulty, send me an email > > and I'll provide a further hint. > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 Ok i'm tryin to think here! Of course if he asks for $1000 all you do is give him all 10 boxes so thats the easy one LOL. Box 1 must have $1 Box 2 $2 so if he were to ask for $3 you hand him box 1 and box 2. Box 3 $4 Box 4 $8 Box 5 $16 Box 6 $32 Box 7 $64 Box 8 $128 Box 9 $256 Box 10 $489 I didn't go thru every number but I think this will work I checked about 50 different amounts. Try it you'll see ! All I did was start at the lowest amount and work up ! $1 box 1 $2 box 2 $3 box 1 and 2 $4 box 3 $5 box 3 and 1 $6 box 3 2 $7 box 3 2 1 $8 box 4 ETC ETC $750 is box 10 box 9 box 3 box 1 Ok hope that helped now that I just did your homework for ya Jess Signature made by Lillady Click the image to request yours today Re: OT - Very Long Thanks for trying Tracie! Hugs, > > OK, I have a stupid riddle that I have to do for school and it is > > worth 15 points. I can't get the answer and I was hoping that > maybe > > one of you could see something I don't... This is for a Liberal > Arts > > Math Class that I am taking online and I have already emailed the > > instructor to ask for an additional hint and he won't give it to me > > until I tell him the amount in the first 4 boxes! > > > > Thanks for your help... I will post the answer for you if I ever > get > > it! > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > THE BANKER'S DILEMMA > > > > > > Once upon a time, a wealthy man decided to deposit some of his > money > > in a local bank. Being mathematically inclined and of the belief > > that bankers also should be adept at math, he decided to present a > > challenge to the banker and his staff. His challenge was as > follows: > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > empty > > money boxes equipped with locks but no keys. (Each box was > presently > > open but once an amount of money was put into it and it was shut, > no > > one could open it except the wealthy man.) His instructions to the > > banker were to distribute the dollar bills among the boxes (and > then > > shut them) in such a way that the banker could at some future time > > give the wealthy man whatever amount of money he requested without > > opening any of the boxes. > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > amount of dollars between $1 and $1000, inclusive, and the banker > > would only be able to pick up some number of the locked boxes and > > hand them to him without opening them or changing the amount of > money > > in them. The wealthy man will ask for an EXACT amount (such as > $217) > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > and > > NO LESS. > > > > > > > > The perplexed banker stood for quite a while staring blankly at the > > boxes, having no idea as to how to proceed. No matter how he > planned > > it, it didn't seem to work out. Time wore on and the day grew late > > and still the banker had no solution. He was beginning to wonder > if > > there even were a solution or if this were some sort of cruel hoax > > initiated by the wealthy man. > > > > > > > > Before things get too much worse, can you please help the > distraught > > banker resolve this dilemma?? Please determine how to distribute > the > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > different solutions to this dilemma. Find as many of these > solutions > > as possible. > > > > > > I would encourage you to pursue this with persistence, since > > persistence is a necessary ingredient for obtaining a solution. > > However, if you are at your wit's end, you may read the hint > below. > > > > > > Hint: Your best strategy here is to be very logical, methodical, > and > > extremely (even ruthlessly) efficient. With only ten boxes at your > > disposal, the amount in many of the boxes is critical. Since the > > banker may return and ask for ANY amount of money, let's assume > that > > he asks for exactly $1. That means that you must have a box with > > exactly $1 in it, no more and no less. > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > exactly $2. That means that you now have two choices: either have > a > > second box with exactly $1 in it, or have a second box with $2 in > it. > > Which is the better choice in terms of efficiency? > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > banker asks for exactly $3? Then you would need a third box with > $1, > > or a box with exactly $3. And remember, we're trying to be > > ruthlessly efficient. > > > > > > > > I think that by now you might suspect the answer as to which is the > > better choice. Try and follow this line of reasoning and see where > > it leads you. If you are still having difficulty, send me an email > > and I'll provide a further hint. > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 I love ya Jess!!!!!! Now just tell me how you figured it so if he asks I can pretend like I know! LOL! My problem is I am an accountant and I don't think out of the box very well! As soon as you tell me it's a riddle I throw my hands up and say forget it!! LOL! Thanks again! Hugs, > > > OK, I have a stupid riddle that I have to do for school and it is > > > worth 15 points. I can't get the answer and I was hoping that > > maybe > > > one of you could see something I don't... This is for a Liberal > > Arts > > > Math Class that I am taking online and I have already emailed the > > > instructor to ask for an additional hint and he won't give it to > me > > > until I tell him the amount in the first 4 boxes! > > > > > > Thanks for your help... I will post the answer for you if I ever > > get > > > it! > > > > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > > THE BANKER'S DILEMMA > > > > > > > > > Once upon a time, a wealthy man decided to deposit some of his > > money > > > in a local bank. Being mathematically inclined and of the belief > > > that bankers also should be adept at math, he decided to present > a > > > challenge to the banker and his staff. His challenge was as > > follows: > > > > > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > > empty > > > money boxes equipped with locks but no keys. (Each box was > > presently > > > open but once an amount of money was put into it and it was shut, > > no > > > one could open it except the wealthy man.) His instructions to > the > > > banker were to distribute the dollar bills among the boxes (and > > then > > > shut them) in such a way that the banker could at some future > time > > > give the wealthy man whatever amount of money he requested > without > > > opening any of the boxes. > > > > > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > > amount of dollars between $1 and $1000, inclusive, and the banker > > > would only be able to pick up some number of the locked boxes and > > > hand them to him without opening them or changing the amount of > > money > > > in them. The wealthy man will ask for an EXACT amount (such as > > $217) > > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > > and > > > NO LESS. > > > > > > > > > > > > The perplexed banker stood for quite a while staring blankly at > the > > > boxes, having no idea as to how to proceed. No matter how he > > planned > > > it, it didn't seem to work out. Time wore on and the day grew > late > > > and still the banker had no solution. He was beginning to wonder > > if > > > there even were a solution or if this were some sort of cruel > hoax > > > initiated by the wealthy man. > > > > > > > > > > > > Before things get too much worse, can you please help the > > distraught > > > banker resolve this dilemma?? Please determine how to distribute > > the > > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > > different solutions to this dilemma. Find as many of these > > solutions > > > as possible. > > > > > > > > > I would encourage you to pursue this with persistence, since > > > persistence is a necessary ingredient for obtaining a solution. > > > However, if you are at your wit's end, you may read the hint > > below. > > > > > > > > > Hint: Your best strategy here is to be very logical, methodical, > > and > > > extremely (even ruthlessly) efficient. With only ten boxes at > your > > > disposal, the amount in many of the boxes is critical. Since the > > > banker may return and ask for ANY amount of money, let's assume > > that > > > he asks for exactly $1. That means that you must have a box with > > > exactly $1 in it, no more and no less. > > > > > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > > exactly $2. That means that you now have two choices: either > have > > a > > > second box with exactly $1 in it, or have a second box with $2 in > > it. > > > Which is the better choice in terms of efficiency? > > > > > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > > banker asks for exactly $3? Then you would need a third box with > > $1, > > > or a box with exactly $3. And remember, we're trying to be > > > ruthlessly efficient. > > > > > > > > > > > > I think that by now you might suspect the answer as to which is > the > > > better choice. Try and follow this line of reasoning and see > where > > > it leads you. If you are still having difficulty, send me an > email > > > and I'll provide a further hint. > > > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > > Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 I love ya Jess!!!!!! Now just tell me how you figured it so if he asks I can pretend like I know! LOL! My problem is I am an accountant and I don't think out of the box very well! As soon as you tell me it's a riddle I throw my hands up and say forget it!! LOL! Thanks again! Hugs, > > > OK, I have a stupid riddle that I have to do for school and it is > > > worth 15 points. I can't get the answer and I was hoping that > > maybe > > > one of you could see something I don't... This is for a Liberal > > Arts > > > Math Class that I am taking online and I have already emailed the > > > instructor to ask for an additional hint and he won't give it to > me > > > until I tell him the amount in the first 4 boxes! > > > > > > Thanks for your help... I will post the answer for you if I ever > > get > > > it! > > > > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > > THE BANKER'S DILEMMA > > > > > > > > > Once upon a time, a wealthy man decided to deposit some of his > > money > > > in a local bank. Being mathematically inclined and of the belief > > > that bankers also should be adept at math, he decided to present > a > > > challenge to the banker and his staff. His challenge was as > > follows: > > > > > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > > empty > > > money boxes equipped with locks but no keys. (Each box was > > presently > > > open but once an amount of money was put into it and it was shut, > > no > > > one could open it except the wealthy man.) His instructions to > the > > > banker were to distribute the dollar bills among the boxes (and > > then > > > shut them) in such a way that the banker could at some future > time > > > give the wealthy man whatever amount of money he requested > without > > > opening any of the boxes. > > > > > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > > amount of dollars between $1 and $1000, inclusive, and the banker > > > would only be able to pick up some number of the locked boxes and > > > hand them to him without opening them or changing the amount of > > money > > > in them. The wealthy man will ask for an EXACT amount (such as > > $217) > > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > > and > > > NO LESS. > > > > > > > > > > > > The perplexed banker stood for quite a while staring blankly at > the > > > boxes, having no idea as to how to proceed. No matter how he > > planned > > > it, it didn't seem to work out. Time wore on and the day grew > late > > > and still the banker had no solution. He was beginning to wonder > > if > > > there even were a solution or if this were some sort of cruel > hoax > > > initiated by the wealthy man. > > > > > > > > > > > > Before things get too much worse, can you please help the > > distraught > > > banker resolve this dilemma?? Please determine how to distribute > > the > > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > > different solutions to this dilemma. Find as many of these > > solutions > > > as possible. > > > > > > > > > I would encourage you to pursue this with persistence, since > > > persistence is a necessary ingredient for obtaining a solution. > > > However, if you are at your wit's end, you may read the hint > > below. > > > > > > > > > Hint: Your best strategy here is to be very logical, methodical, > > and > > > extremely (even ruthlessly) efficient. With only ten boxes at > your > > > disposal, the amount in many of the boxes is critical. Since the > > > banker may return and ask for ANY amount of money, let's assume > > that > > > he asks for exactly $1. That means that you must have a box with > > > exactly $1 in it, no more and no less. > > > > > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > > exactly $2. That means that you now have two choices: either > have > > a > > > second box with exactly $1 in it, or have a second box with $2 in > > it. > > > Which is the better choice in terms of efficiency? > > > > > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > > banker asks for exactly $3? Then you would need a third box with > > $1, > > > or a box with exactly $3. And remember, we're trying to be > > > ruthlessly efficient. > > > > > > > > > > > > I think that by now you might suspect the answer as to which is > the > > > better choice. Try and follow this line of reasoning and see > where > > > it leads you. If you are still having difficulty, send me an > email > > > and I'll provide a further hint. > > > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > > Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 29, 2003 Report Share Posted May 29, 2003 I love ya Jess!!!!!! Now just tell me how you figured it so if he asks I can pretend like I know! LOL! My problem is I am an accountant and I don't think out of the box very well! As soon as you tell me it's a riddle I throw my hands up and say forget it!! LOL! Thanks again! Hugs, > > > OK, I have a stupid riddle that I have to do for school and it is > > > worth 15 points. I can't get the answer and I was hoping that > > maybe > > > one of you could see something I don't... This is for a Liberal > > Arts > > > Math Class that I am taking online and I have already emailed the > > > instructor to ask for an additional hint and he won't give it to > me > > > until I tell him the amount in the first 4 boxes! > > > > > > Thanks for your help... I will post the answer for you if I ever > > get > > > it! > > > > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > > THE BANKER'S DILEMMA > > > > > > > > > Once upon a time, a wealthy man decided to deposit some of his > > money > > > in a local bank. Being mathematically inclined and of the belief > > > that bankers also should be adept at math, he decided to present > a > > > challenge to the banker and his staff. His challenge was as > > follows: > > > > > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > > empty > > > money boxes equipped with locks but no keys. (Each box was > > presently > > > open but once an amount of money was put into it and it was shut, > > no > > > one could open it except the wealthy man.) His instructions to > the > > > banker were to distribute the dollar bills among the boxes (and > > then > > > shut them) in such a way that the banker could at some future > time > > > give the wealthy man whatever amount of money he requested > without > > > opening any of the boxes. > > > > > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > > amount of dollars between $1 and $1000, inclusive, and the banker > > > would only be able to pick up some number of the locked boxes and > > > hand them to him without opening them or changing the amount of > > money > > > in them. The wealthy man will ask for an EXACT amount (such as > > $217) > > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > > and > > > NO LESS. > > > > > > > > > > > > The perplexed banker stood for quite a while staring blankly at > the > > > boxes, having no idea as to how to proceed. No matter how he > > planned > > > it, it didn't seem to work out. Time wore on and the day grew > late > > > and still the banker had no solution. He was beginning to wonder > > if > > > there even were a solution or if this were some sort of cruel > hoax > > > initiated by the wealthy man. > > > > > > > > > > > > Before things get too much worse, can you please help the > > distraught > > > banker resolve this dilemma?? Please determine how to distribute > > the > > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > > different solutions to this dilemma. Find as many of these > > solutions > > > as possible. > > > > > > > > > I would encourage you to pursue this with persistence, since > > > persistence is a necessary ingredient for obtaining a solution. > > > However, if you are at your wit's end, you may read the hint > > below. > > > > > > > > > Hint: Your best strategy here is to be very logical, methodical, > > and > > > extremely (even ruthlessly) efficient. With only ten boxes at > your > > > disposal, the amount in many of the boxes is critical. Since the > > > banker may return and ask for ANY amount of money, let's assume > > that > > > he asks for exactly $1. That means that you must have a box with > > > exactly $1 in it, no more and no less. > > > > > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > > exactly $2. That means that you now have two choices: either > have > > a > > > second box with exactly $1 in it, or have a second box with $2 in > > it. > > > Which is the better choice in terms of efficiency? > > > > > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > > banker asks for exactly $3? Then you would need a third box with > > $1, > > > or a box with exactly $3. And remember, we're trying to be > > > ruthlessly efficient. > > > > > > > > > > > > I think that by now you might suspect the answer as to which is > the > > > better choice. Try and follow this line of reasoning and see > where > > > it leads you. If you are still having difficulty, send me an > email > > > and I'll provide a further hint. > > > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > > Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 30, 2003 Report Share Posted May 30, 2003 Ok simple . I started with the smallest amount he can ask for which is $1. That needs to be in box 1 . Next amount is $2. Well it would be silly to have 2 boxes with $1 each so box 2 needs to be $2 in it. Next amount is $3 . Well if he wants $3 you can just hand him box 1 and 2 because they total $3. Next amount $4 ! Well you only have $3 in boxes so far and as we determined its pointless to have the same amount of money in 2 boxes box 3 needs to have $4 in it. Next amount $5. Well Box 3 ($4 ) and box 1 ( $1 ) total $5. Ok next amount $6 . Box 3 ( $4 ) plus box 2 ( $2 ) is 6 so we're still safe. $7 is Box 3 box 2 and box 1 added together so still safe. $8 ok well we only have $7 in the boxes so far so box 4 needs to have $8 even in it. $9 is box 4 + box1. $10 box 4 + box 2. $11 box 4 box 2 box 1. $12 box 4 and box 3 .............. and so on and so forth up the ladder. You start to see the pattern form. You'll notice that box 10 by the pattern should have $512 ( boxes doubling in amount every time ) but if you were to add 512 + 256 +128+64 + 32 + 16 +8 + 4 + 2 + 1 together you come up with 1023. Oh wait he only gave you 1000 to play with. but 512 at this point is redundant because boxes 1 - 9 add up to 511. So i took the amount 512 which is double box 9 and subtracted the amount over 1000 i was 23 and came up with 489. Every number i plugged in to see if i could come up with i could with the combination of 2 or more of those 10 numbers Example 50 is box 6 ( 32 ) + box 5 ( 16 ) + box 2 ( 2 ) *hubbys suggestion number not mine* 666 is box 10 (489 ) + box 8 ( 128 ) + box 6 (32 ) + box 5 ( 16 ) + box 1 ( 1 ) Try it and see how it works Signature made by Lillady Click the image to request yours today Re: OT - Very Long I love ya Jess!!!!!! Now just tell me how you figured it so if he asks I can pretend like I know! LOL! My problem is I am an accountant and I don't think out of the box very well! As soon as you tell me it's a riddle I throw my hands up and say forget it!! LOL! Thanks again! Hugs, > > > OK, I have a stupid riddle that I have to do for school and it is > > > worth 15 points. I can't get the answer and I was hoping that > > maybe > > > one of you could see something I don't... This is for a Liberal > > Arts > > > Math Class that I am taking online and I have already emailed the > > > instructor to ask for an additional hint and he won't give it to > me > > > until I tell him the amount in the first 4 boxes! > > > > > > Thanks for your help... I will post the answer for you if I ever > > get > > > it! > > > > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > > THE BANKER'S DILEMMA > > > > > > > > > Once upon a time, a wealthy man decided to deposit some of his > > money > > > in a local bank. Being mathematically inclined and of the belief > > > that bankers also should be adept at math, he decided to present > a > > > challenge to the banker and his staff. His challenge was as > > follows: > > > > > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > > empty > > > money boxes equipped with locks but no keys. (Each box was > > presently > > > open but once an amount of money was put into it and it was shut, > > no > > > one could open it except the wealthy man.) His instructions to > the > > > banker were to distribute the dollar bills among the boxes (and > > then > > > shut them) in such a way that the banker could at some future > time > > > give the wealthy man whatever amount of money he requested > without > > > opening any of the boxes. > > > > > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > > amount of dollars between $1 and $1000, inclusive, and the banker > > > would only be able to pick up some number of the locked boxes and > > > hand them to him without opening them or changing the amount of > > money > > > in them. The wealthy man will ask for an EXACT amount (such as > > $217) > > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > > and > > > NO LESS. > > > > > > > > > > > > The perplexed banker stood for quite a while staring blankly at > the > > > boxes, having no idea as to how to proceed. No matter how he > > planned > > > it, it didn't seem to work out. Time wore on and the day grew > late > > > and still the banker had no solution. He was beginning to wonder > > if > > > there even were a solution or if this were some sort of cruel > hoax > > > initiated by the wealthy man. > > > > > > > > > > > > Before things get too much worse, can you please help the > > distraught > > > banker resolve this dilemma?? Please determine how to distribute > > the > > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > > different solutions to this dilemma. Find as many of these > > solutions > > > as possible. > > > > > > > > > I would encourage you to pursue this with persistence, since > > > persistence is a necessary ingredient for obtaining a solution. > > > However, if you are at your wit's end, you may read the hint > > below. > > > > > > > > > Hint: Your best strategy here is to be very logical, methodical, > > and > > > extremely (even ruthlessly) efficient. With only ten boxes at > your > > > disposal, the amount in many of the boxes is critical. Since the > > > banker may return and ask for ANY amount of money, let's assume > > that > > > he asks for exactly $1. That means that you must have a box with > > > exactly $1 in it, no more and no less. > > > > > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > > exactly $2. That means that you now have two choices: either > have > > a > > > second box with exactly $1 in it, or have a second box with $2 in > > it. > > > Which is the better choice in terms of efficiency? > > > > > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > > banker asks for exactly $3? Then you would need a third box with > > $1, > > > or a box with exactly $3. And remember, we're trying to be > > > ruthlessly efficient. > > > > > > > > > > > > I think that by now you might suspect the answer as to which is > the > > > better choice. Try and follow this line of reasoning and see > where > > > it leads you. If you are still having difficulty, send me an > email > > > and I'll provide a further hint. > > > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > > Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 30, 2003 Report Share Posted May 30, 2003 Ok simple . I started with the smallest amount he can ask for which is $1. That needs to be in box 1 . Next amount is $2. Well it would be silly to have 2 boxes with $1 each so box 2 needs to be $2 in it. Next amount is $3 . Well if he wants $3 you can just hand him box 1 and 2 because they total $3. Next amount $4 ! Well you only have $3 in boxes so far and as we determined its pointless to have the same amount of money in 2 boxes box 3 needs to have $4 in it. Next amount $5. Well Box 3 ($4 ) and box 1 ( $1 ) total $5. Ok next amount $6 . Box 3 ( $4 ) plus box 2 ( $2 ) is 6 so we're still safe. $7 is Box 3 box 2 and box 1 added together so still safe. $8 ok well we only have $7 in the boxes so far so box 4 needs to have $8 even in it. $9 is box 4 + box1. $10 box 4 + box 2. $11 box 4 box 2 box 1. $12 box 4 and box 3 .............. and so on and so forth up the ladder. You start to see the pattern form. You'll notice that box 10 by the pattern should have $512 ( boxes doubling in amount every time ) but if you were to add 512 + 256 +128+64 + 32 + 16 +8 + 4 + 2 + 1 together you come up with 1023. Oh wait he only gave you 1000 to play with. but 512 at this point is redundant because boxes 1 - 9 add up to 511. So i took the amount 512 which is double box 9 and subtracted the amount over 1000 i was 23 and came up with 489. Every number i plugged in to see if i could come up with i could with the combination of 2 or more of those 10 numbers Example 50 is box 6 ( 32 ) + box 5 ( 16 ) + box 2 ( 2 ) *hubbys suggestion number not mine* 666 is box 10 (489 ) + box 8 ( 128 ) + box 6 (32 ) + box 5 ( 16 ) + box 1 ( 1 ) Try it and see how it works Signature made by Lillady Click the image to request yours today Re: OT - Very Long I love ya Jess!!!!!! Now just tell me how you figured it so if he asks I can pretend like I know! LOL! My problem is I am an accountant and I don't think out of the box very well! As soon as you tell me it's a riddle I throw my hands up and say forget it!! LOL! Thanks again! Hugs, > > > OK, I have a stupid riddle that I have to do for school and it is > > > worth 15 points. I can't get the answer and I was hoping that > > maybe > > > one of you could see something I don't... This is for a Liberal > > Arts > > > Math Class that I am taking online and I have already emailed the > > > instructor to ask for an additional hint and he won't give it to > me > > > until I tell him the amount in the first 4 boxes! > > > > > > Thanks for your help... I will post the answer for you if I ever > > get > > > it! > > > > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > > THE BANKER'S DILEMMA > > > > > > > > > Once upon a time, a wealthy man decided to deposit some of his > > money > > > in a local bank. Being mathematically inclined and of the belief > > > that bankers also should be adept at math, he decided to present > a > > > challenge to the banker and his staff. His challenge was as > > follows: > > > > > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > > empty > > > money boxes equipped with locks but no keys. (Each box was > > presently > > > open but once an amount of money was put into it and it was shut, > > no > > > one could open it except the wealthy man.) His instructions to > the > > > banker were to distribute the dollar bills among the boxes (and > > then > > > shut them) in such a way that the banker could at some future > time > > > give the wealthy man whatever amount of money he requested > without > > > opening any of the boxes. > > > > > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > > amount of dollars between $1 and $1000, inclusive, and the banker > > > would only be able to pick up some number of the locked boxes and > > > hand them to him without opening them or changing the amount of > > money > > > in them. The wealthy man will ask for an EXACT amount (such as > > $217) > > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > > and > > > NO LESS. > > > > > > > > > > > > The perplexed banker stood for quite a while staring blankly at > the > > > boxes, having no idea as to how to proceed. No matter how he > > planned > > > it, it didn't seem to work out. Time wore on and the day grew > late > > > and still the banker had no solution. He was beginning to wonder > > if > > > there even were a solution or if this were some sort of cruel > hoax > > > initiated by the wealthy man. > > > > > > > > > > > > Before things get too much worse, can you please help the > > distraught > > > banker resolve this dilemma?? Please determine how to distribute > > the > > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > > different solutions to this dilemma. Find as many of these > > solutions > > > as possible. > > > > > > > > > I would encourage you to pursue this with persistence, since > > > persistence is a necessary ingredient for obtaining a solution. > > > However, if you are at your wit's end, you may read the hint > > below. > > > > > > > > > Hint: Your best strategy here is to be very logical, methodical, > > and > > > extremely (even ruthlessly) efficient. With only ten boxes at > your > > > disposal, the amount in many of the boxes is critical. Since the > > > banker may return and ask for ANY amount of money, let's assume > > that > > > he asks for exactly $1. That means that you must have a box with > > > exactly $1 in it, no more and no less. > > > > > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > > exactly $2. That means that you now have two choices: either > have > > a > > > second box with exactly $1 in it, or have a second box with $2 in > > it. > > > Which is the better choice in terms of efficiency? > > > > > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > > banker asks for exactly $3? Then you would need a third box with > > $1, > > > or a box with exactly $3. And remember, we're trying to be > > > ruthlessly efficient. > > > > > > > > > > > > I think that by now you might suspect the answer as to which is > the > > > better choice. Try and follow this line of reasoning and see > where > > > it leads you. If you are still having difficulty, send me an > email > > > and I'll provide a further hint. > > > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > > Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 30, 2003 Report Share Posted May 30, 2003 Ok simple . I started with the smallest amount he can ask for which is $1. That needs to be in box 1 . Next amount is $2. Well it would be silly to have 2 boxes with $1 each so box 2 needs to be $2 in it. Next amount is $3 . Well if he wants $3 you can just hand him box 1 and 2 because they total $3. Next amount $4 ! Well you only have $3 in boxes so far and as we determined its pointless to have the same amount of money in 2 boxes box 3 needs to have $4 in it. Next amount $5. Well Box 3 ($4 ) and box 1 ( $1 ) total $5. Ok next amount $6 . Box 3 ( $4 ) plus box 2 ( $2 ) is 6 so we're still safe. $7 is Box 3 box 2 and box 1 added together so still safe. $8 ok well we only have $7 in the boxes so far so box 4 needs to have $8 even in it. $9 is box 4 + box1. $10 box 4 + box 2. $11 box 4 box 2 box 1. $12 box 4 and box 3 .............. and so on and so forth up the ladder. You start to see the pattern form. You'll notice that box 10 by the pattern should have $512 ( boxes doubling in amount every time ) but if you were to add 512 + 256 +128+64 + 32 + 16 +8 + 4 + 2 + 1 together you come up with 1023. Oh wait he only gave you 1000 to play with. but 512 at this point is redundant because boxes 1 - 9 add up to 511. So i took the amount 512 which is double box 9 and subtracted the amount over 1000 i was 23 and came up with 489. Every number i plugged in to see if i could come up with i could with the combination of 2 or more of those 10 numbers Example 50 is box 6 ( 32 ) + box 5 ( 16 ) + box 2 ( 2 ) *hubbys suggestion number not mine* 666 is box 10 (489 ) + box 8 ( 128 ) + box 6 (32 ) + box 5 ( 16 ) + box 1 ( 1 ) Try it and see how it works Signature made by Lillady Click the image to request yours today Re: OT - Very Long I love ya Jess!!!!!! Now just tell me how you figured it so if he asks I can pretend like I know! LOL! My problem is I am an accountant and I don't think out of the box very well! As soon as you tell me it's a riddle I throw my hands up and say forget it!! LOL! Thanks again! Hugs, > > > OK, I have a stupid riddle that I have to do for school and it is > > > worth 15 points. I can't get the answer and I was hoping that > > maybe > > > one of you could see something I don't... This is for a Liberal > > Arts > > > Math Class that I am taking online and I have already emailed the > > > instructor to ask for an additional hint and he won't give it to > me > > > until I tell him the amount in the first 4 boxes! > > > > > > Thanks for your help... I will post the answer for you if I ever > > get > > > it! > > > > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > > THE BANKER'S DILEMMA > > > > > > > > > Once upon a time, a wealthy man decided to deposit some of his > > money > > > in a local bank. Being mathematically inclined and of the belief > > > that bankers also should be adept at math, he decided to present > a > > > challenge to the banker and his staff. His challenge was as > > follows: > > > > > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > > empty > > > money boxes equipped with locks but no keys. (Each box was > > presently > > > open but once an amount of money was put into it and it was shut, > > no > > > one could open it except the wealthy man.) His instructions to > the > > > banker were to distribute the dollar bills among the boxes (and > > then > > > shut them) in such a way that the banker could at some future > time > > > give the wealthy man whatever amount of money he requested > without > > > opening any of the boxes. > > > > > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > > amount of dollars between $1 and $1000, inclusive, and the banker > > > would only be able to pick up some number of the locked boxes and > > > hand them to him without opening them or changing the amount of > > money > > > in them. The wealthy man will ask for an EXACT amount (such as > > $217) > > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > > and > > > NO LESS. > > > > > > > > > > > > The perplexed banker stood for quite a while staring blankly at > the > > > boxes, having no idea as to how to proceed. No matter how he > > planned > > > it, it didn't seem to work out. Time wore on and the day grew > late > > > and still the banker had no solution. He was beginning to wonder > > if > > > there even were a solution or if this were some sort of cruel > hoax > > > initiated by the wealthy man. > > > > > > > > > > > > Before things get too much worse, can you please help the > > distraught > > > banker resolve this dilemma?? Please determine how to distribute > > the > > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > > different solutions to this dilemma. Find as many of these > > solutions > > > as possible. > > > > > > > > > I would encourage you to pursue this with persistence, since > > > persistence is a necessary ingredient for obtaining a solution. > > > However, if you are at your wit's end, you may read the hint > > below. > > > > > > > > > Hint: Your best strategy here is to be very logical, methodical, > > and > > > extremely (even ruthlessly) efficient. With only ten boxes at > your > > > disposal, the amount in many of the boxes is critical. Since the > > > banker may return and ask for ANY amount of money, let's assume > > that > > > he asks for exactly $1. That means that you must have a box with > > > exactly $1 in it, no more and no less. > > > > > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > > exactly $2. That means that you now have two choices: either > have > > a > > > second box with exactly $1 in it, or have a second box with $2 in > > it. > > > Which is the better choice in terms of efficiency? > > > > > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > > banker asks for exactly $3? Then you would need a third box with > > $1, > > > or a box with exactly $3. And remember, we're trying to be > > > ruthlessly efficient. > > > > > > > > > > > > I think that by now you might suspect the answer as to which is > the > > > better choice. Try and follow this line of reasoning and see > where > > > it leads you. If you are still having difficulty, send me an > email > > > and I'll provide a further hint. > > > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > > Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 30, 2003 Report Share Posted May 30, 2003 What can I say I like math and that was an easy story problem. DH is laughing at me tellin me honey math is not easy for everyone. Signature made by Lillady Click the image to request yours today Re: OT - Very Long Thanks for trying Tracie! Hugs, > > OK, I have a stupid riddle that I have to do for school and it is > > worth 15 points. I can't get the answer and I was hoping that > maybe > > one of you could see something I don't... This is for a Liberal > Arts > > Math Class that I am taking online and I have already emailed the > > instructor to ask for an additional hint and he won't give it to me > > until I tell him the amount in the first 4 boxes! > > > > Thanks for your help... I will post the answer for you if I ever > get > > it! > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > THE BANKER'S DILEMMA > > > > > > Once upon a time, a wealthy man decided to deposit some of his > money > > in a local bank. Being mathematically inclined and of the belief > > that bankers also should be adept at math, he decided to present a > > challenge to the banker and his staff. His challenge was as > follows: > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > empty > > money boxes equipped with locks but no keys. (Each box was > presently > > open but once an amount of money was put into it and it was shut, > no > > one could open it except the wealthy man.) His instructions to the > > banker were to distribute the dollar bills among the boxes (and > then > > shut them) in such a way that the banker could at some future time > > give the wealthy man whatever amount of money he requested without > > opening any of the boxes. > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > amount of dollars between $1 and $1000, inclusive, and the banker > > would only be able to pick up some number of the locked boxes and > > hand them to him without opening them or changing the amount of > money > > in them. The wealthy man will ask for an EXACT amount (such as > $217) > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > and > > NO LESS. > > > > > > > > The perplexed banker stood for quite a while staring blankly at the > > boxes, having no idea as to how to proceed. No matter how he > planned > > it, it didn't seem to work out. Time wore on and the day grew late > > and still the banker had no solution. He was beginning to wonder > if > > there even were a solution or if this were some sort of cruel hoax > > initiated by the wealthy man. > > > > > > > > Before things get too much worse, can you please help the > distraught > > banker resolve this dilemma?? Please determine how to distribute > the > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > different solutions to this dilemma. Find as many of these > solutions > > as possible. > > > > > > I would encourage you to pursue this with persistence, since > > persistence is a necessary ingredient for obtaining a solution. > > However, if you are at your wit's end, you may read the hint > below. > > > > > > Hint: Your best strategy here is to be very logical, methodical, > and > > extremely (even ruthlessly) efficient. With only ten boxes at your > > disposal, the amount in many of the boxes is critical. Since the > > banker may return and ask for ANY amount of money, let's assume > that > > he asks for exactly $1. That means that you must have a box with > > exactly $1 in it, no more and no less. > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > exactly $2. That means that you now have two choices: either have > a > > second box with exactly $1 in it, or have a second box with $2 in > it. > > Which is the better choice in terms of efficiency? > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > banker asks for exactly $3? Then you would need a third box with > $1, > > or a box with exactly $3. And remember, we're trying to be > > ruthlessly efficient. > > > > > > > > I think that by now you might suspect the answer as to which is the > > better choice. Try and follow this line of reasoning and see where > > it leads you. If you are still having difficulty, send me an email > > and I'll provide a further hint. > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 30, 2003 Report Share Posted May 30, 2003 What can I say I like math and that was an easy story problem. DH is laughing at me tellin me honey math is not easy for everyone. Signature made by Lillady Click the image to request yours today Re: OT - Very Long Thanks for trying Tracie! Hugs, > > OK, I have a stupid riddle that I have to do for school and it is > > worth 15 points. I can't get the answer and I was hoping that > maybe > > one of you could see something I don't... This is for a Liberal > Arts > > Math Class that I am taking online and I have already emailed the > > instructor to ask for an additional hint and he won't give it to me > > until I tell him the amount in the first 4 boxes! > > > > Thanks for your help... I will post the answer for you if I ever > get > > it! > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > THE BANKER'S DILEMMA > > > > > > Once upon a time, a wealthy man decided to deposit some of his > money > > in a local bank. Being mathematically inclined and of the belief > > that bankers also should be adept at math, he decided to present a > > challenge to the banker and his staff. His challenge was as > follows: > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > empty > > money boxes equipped with locks but no keys. (Each box was > presently > > open but once an amount of money was put into it and it was shut, > no > > one could open it except the wealthy man.) His instructions to the > > banker were to distribute the dollar bills among the boxes (and > then > > shut them) in such a way that the banker could at some future time > > give the wealthy man whatever amount of money he requested without > > opening any of the boxes. > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > amount of dollars between $1 and $1000, inclusive, and the banker > > would only be able to pick up some number of the locked boxes and > > hand them to him without opening them or changing the amount of > money > > in them. The wealthy man will ask for an EXACT amount (such as > $217) > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > and > > NO LESS. > > > > > > > > The perplexed banker stood for quite a while staring blankly at the > > boxes, having no idea as to how to proceed. No matter how he > planned > > it, it didn't seem to work out. Time wore on and the day grew late > > and still the banker had no solution. He was beginning to wonder > if > > there even were a solution or if this were some sort of cruel hoax > > initiated by the wealthy man. > > > > > > > > Before things get too much worse, can you please help the > distraught > > banker resolve this dilemma?? Please determine how to distribute > the > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > different solutions to this dilemma. Find as many of these > solutions > > as possible. > > > > > > I would encourage you to pursue this with persistence, since > > persistence is a necessary ingredient for obtaining a solution. > > However, if you are at your wit's end, you may read the hint > below. > > > > > > Hint: Your best strategy here is to be very logical, methodical, > and > > extremely (even ruthlessly) efficient. With only ten boxes at your > > disposal, the amount in many of the boxes is critical. Since the > > banker may return and ask for ANY amount of money, let's assume > that > > he asks for exactly $1. That means that you must have a box with > > exactly $1 in it, no more and no less. > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > exactly $2. That means that you now have two choices: either have > a > > second box with exactly $1 in it, or have a second box with $2 in > it. > > Which is the better choice in terms of efficiency? > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > banker asks for exactly $3? Then you would need a third box with > $1, > > or a box with exactly $3. And remember, we're trying to be > > ruthlessly efficient. > > > > > > > > I think that by now you might suspect the answer as to which is the > > better choice. Try and follow this line of reasoning and see where > > it leads you. If you are still having difficulty, send me an email > > and I'll provide a further hint. > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 30, 2003 Report Share Posted May 30, 2003 What can I say I like math and that was an easy story problem. DH is laughing at me tellin me honey math is not easy for everyone. Signature made by Lillady Click the image to request yours today Re: OT - Very Long Thanks for trying Tracie! Hugs, > > OK, I have a stupid riddle that I have to do for school and it is > > worth 15 points. I can't get the answer and I was hoping that > maybe > > one of you could see something I don't... This is for a Liberal > Arts > > Math Class that I am taking online and I have already emailed the > > instructor to ask for an additional hint and he won't give it to me > > until I tell him the amount in the first 4 boxes! > > > > Thanks for your help... I will post the answer for you if I ever > get > > it! > > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > THE BANKER'S DILEMMA > > > > > > Once upon a time, a wealthy man decided to deposit some of his > money > > in a local bank. Being mathematically inclined and of the belief > > that bankers also should be adept at math, he decided to present a > > challenge to the banker and his staff. His challenge was as > follows: > > > > > > > > He brought to the bank $1000 in one-dollar bills along with 10 > empty > > money boxes equipped with locks but no keys. (Each box was > presently > > open but once an amount of money was put into it and it was shut, > no > > one could open it except the wealthy man.) His instructions to the > > banker were to distribute the dollar bills among the boxes (and > then > > shut them) in such a way that the banker could at some future time > > give the wealthy man whatever amount of money he requested without > > opening any of the boxes. > > > > > > > > In other words, the wealthy man could request a withdrawal of any > > amount of dollars between $1 and $1000, inclusive, and the banker > > would only be able to pick up some number of the locked boxes and > > hand them to him without opening them or changing the amount of > money > > in them. The wealthy man will ask for an EXACT amount (such as > $217) > > and the banker will need to give him EXACTLY THAT AMOUNT--NO MORE > and > > NO LESS. > > > > > > > > The perplexed banker stood for quite a while staring blankly at the > > boxes, having no idea as to how to proceed. No matter how he > planned > > it, it didn't seem to work out. Time wore on and the day grew late > > and still the banker had no solution. He was beginning to wonder > if > > there even were a solution or if this were some sort of cruel hoax > > initiated by the wealthy man. > > > > > > > > Before things get too much worse, can you please help the > distraught > > banker resolve this dilemma?? Please determine how to distribute > the > > dollar bills so as to satisfy the wealthy man's request. > > > > > > > > Extra credit: There are actually a number (albeit limited) of > > different solutions to this dilemma. Find as many of these > solutions > > as possible. > > > > > > I would encourage you to pursue this with persistence, since > > persistence is a necessary ingredient for obtaining a solution. > > However, if you are at your wit's end, you may read the hint > below. > > > > > > Hint: Your best strategy here is to be very logical, methodical, > and > > extremely (even ruthlessly) efficient. With only ten boxes at your > > disposal, the amount in many of the boxes is critical. Since the > > banker may return and ask for ANY amount of money, let's assume > that > > he asks for exactly $1. That means that you must have a box with > > exactly $1 in it, no more and no less. > > > > > > > > Continuing with this line of reasoning, the banker may ask for > > exactly $2. That means that you now have two choices: either have > a > > second box with exactly $1 in it, or have a second box with $2 in > it. > > Which is the better choice in terms of efficiency? > > > > > > > > If you decide to use two boxes each with $1, what happens if the > > banker asks for exactly $3? Then you would need a third box with > $1, > > or a box with exactly $3. And remember, we're trying to be > > ruthlessly efficient. > > > > > > > > I think that by now you might suspect the answer as to which is the > > better choice. Try and follow this line of reasoning and see where > > it leads you. If you are still having difficulty, send me an email > > and I'll provide a further hint. > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Quote Link to comment Share on other sites More sharing options...
Guest guest Posted May 30, 2003 Report Share Posted May 30, 2003 : I think the first four boxes would be $1 - $1 - $2 - $5. That way you would be able to get dollar amounts for $1-$10 with those four boxes. See if he will give you another clue now! ..........Shauna Quote Link to comment Share on other sites More sharing options...
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