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2014 AMC 12B Problem 4

Problem 4 of 25EasierAlgebraArithmetic

Susie pays for 44 muffins and 33 bananas. Calvin spends twice as much paying for 22 muffins and 1616 bananas. A muffin is how many times as expensive as a banana?

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Solution

Let a muffin cost mm and a banana cost b.b. Then 2(4m+3b)=2m+16b. 2(4m+3b) = 2m+16b. Expanding gives 8m+6b=2m+16b,8m+6b = 2m+16b, so 6m=10b6m = 10b and m=53b.m = \tfrac53 b. Thus, the correct answer is B.
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Tagged: linear equation · ratio and proportion

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