Problem:
Three 's and a will balance nine 's. One will balance a and a .
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How many 's will balance the two 's in this balance?
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Answer Choices:
A.
B.
C.
D.
E.
Solution:
The second balance shows each balances . Replace each on the first balance with . Then after removing three 's from each side, the balance has on the left and on the right. Thus will be balanced.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions