# I need the answer for math class.?

You have a total of nine ancient gold coins in your possession. However, one of the coins is counterfeit. It appears identical, but it is slightly heavier han the other 8 coins. With a beam balance, what is the smallest number of weighings required, that would guarantee an accurate identification of the counterfeit coin? Please show all the weighings using a tree diagram outlining each possible outcome.

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