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#1 | |
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The only difference between the valuable real coins and the counterfeit coin is that The fake coin is either heavier or lighter than the real coins. |
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#2 | |
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I would put 50 coins on each side of the scale, then take either the lighter or heavier side and divide them into 25 coins, if they weighed even then the counterfeit coin is amongst the other 25 coins, if they weighed uneven the counterfeit coin is amongst that 25. I would continue dividing the coins into equal amounts until I was left with only the counterfeit coin. Or you could just bite them and see if you were left with teeth marks ![]() ![]()
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#3 |
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The difference between the real coins and the fake coin is too subtle to tell with your hands.
Your task is find a way to use the balance scale efficiently. ETA: Dreamer and I posted at the same time. |
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I am horrible at these kind of problems but I love them.Please post the answer even if no one gets it!
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This might as well be the "one train leaves the NY station at 10 am doing 100 mph, one train leaves Chicago at 10 am doing 150 mph, what time do they intersect in.....Timbucktoo?"
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Ooooo.....I love love LOVE these kinds of problems!!!!
![]() Wish I'd gotten in on this one a bit sooner. ![]() ~Theo~ ![]() ![]()
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#7 |
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i imagine that halving them til you get to the winner is the better idea... if the scale has to be used and they are identical i believe that would be the best bet...
of course... i am sure that there must be something else that works better... because that just sounds too logical and easy... |
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Take 1 known genuine coin by weight. Divide the rest into 3 of 33 and weight them. The pile that is lighter or heavier gets cut into 3rds till you single it out.
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#9 |
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Well the question is ambiguous .If you have to pay each time you use the scale, does putting them on and then off count as one time or two? Also if you have to pay everytime you use the scale what's the goal here, what's the object of this quest? To spend the least amount of money possible in your quest, or is the goal to find out which coin is bogus? Anyway I have about 20 more questions because your details are not very clear. But here's my answer. Assumming putting all the coins on the scale counts as a one time use , and taking them all off counts as an additional use, I'd put all the coins on the scale. ( that's one time) Then I'd take them off one at a time, watching the scale for the difference in weights. (For example the first 15 I took off, all weighted 3 ounces each but the 16th one weighted 2 ounces, and the next 4 I took off weighted 3 ounces, I'd set the one that weightes 2 ounces aside) I'd set the different one aside and finished taking the other coins off, that would count as the second use of the scale. So 2 times I'd use the scale. If putting them on and off counts as one time use then I only used the scale once.
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#10 | |
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I have NO idea but if it's safe to travel you can bet I'd be on that damn train! |
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