# 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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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.

I don’t know anything about this math, but couldn’t you just put them on the scale in pairs (one on each side) until they didn’t balance? The heavier one would be obvious.

three times

1st 4 and 4

the heavier then two and two

then the heavier one and one then take the heavier one

yeah the answer is three

i have that due for my h alg 2/ trig class tomorrow

lol