2009 AMC 10A Problems/Problem 7

Problem

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

$\mathrm{(A)}\ \frac{12}{5} \qquad \mathrm{(B)}\ 3 \qquad \mathrm{(C)}\ \frac{10}{3} \qquad \mathrm{(D)}\ 38 \qquad \mathrm{(E)}\ 42$

Solution

Rewording the question, basically we are being asked "2 is 40% less than what number?" If x represents the number we are looking for, then 40% less than the number would be represented by $x-0.4x$ or $0.6x$ . Thus $0.6x=2$ ; solving for x, we get $x=\frac{10}{3}$ , $\longrightarrow \fbox{C}$

2009 AMC 10A (Problems • Answer Key • Resources)
Preceded by Problem 6	Followed by Problem 8
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2009 AMC 10A Problems/Problem 7

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