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.
I say 3
1) put 4 on each side if they are the same the one left out is the counterfeit. If not go to step 2
2) take the 4 coins that weighed more from step one and break it into 2 groups of 2 and weigh them.
3) take the 2 coins from step 2 that weighed more and weigh them. You’ll find the counterfeit.
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