# Riddle! There are ten stacks of ten gold coins on a table…?

You are told the weight of the coins and guaranteed that nine of the stacks contain real gold coins. The tenth stack has all counterfeit coins that weigh exactly one gram more than a real coin. YOu are given a scale which weighs in grams and are told if you can determine which stack is counterfeit the nine stacks are yours. Unfortunately, you can only use the scale once! Describe how you would determine the counterfeit stack of coins.

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i would weigh on the scale 5 stacks on each side and the side that was lower (which means it is heavier) of those stacks i would weigh each stack in my hands and the one i felt was heaviest i would say it was the one with fake coins

Hmm… Thats tricky.

I suppose i would weigh it with my hands first then choose the stack that has the best probability and use the scale to weigh it.

you take 1 coin from the first stack,

2 coins from the second stack,

3 coins from the third stack,

4 coins from the fourth stack, and so on

…..

10 coins from the tenth stack

then you weighed them together on the scale

subtract the normal weight of the coins from the measured weight and the answer would tell you which of the ten stacks is the counterfeit

Put 1 coin from stack 1 on the scale, 2 coins from stack 2 on the scale… etc.

The weight should be more than 55 grams. Subtract 55 grams from the weight the scale shows. If it is 1 gram more then the counterfeits are stack 1, if it is 2 grams more then the counterfeits are in stack 2, etc.