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2009 AMC 10A Problem 7

Problem 7 of 25EasierAlgebra

A carton contains milk that is 2%2\% fat, an amount that is 40%40\% less fat than the amount contained in a carton of whole milk. What is the percentage of fat in whole milk?

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Solution

Let whole milk be x%x\% fat. Since 22 is 40%40\% less than x,x, we have 0.6x=2,0.6x = 2, so x=20.6=103.x = \dfrac{2}{0.6} = \dfrac{10}{3}. Thus, the correct answer is C.

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Concepts: percentage · linear equation

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.