# hard wordproblem with $$$$$$$$$?

You have 12 coins, one of which is counterfeit and weighs less than the legal coins. How can you use a simple balance 3 times to determine which coin is counterfeit?

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Assuming they’re all the same coin. Split the the coins into 6&6 and compare them. Take the lesser 6 and split them into 3&3 and compare them. Pick 2 of the lesser 3 and compare them, if they are equal the other is the counterfeit, and if they aren’t the lesser is the counterfeit.

That was fun!