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2005 AMC 10B Problems/Problem 5

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Problem

Brianna is using part of the money she earned on her weekend job to buy several equally priced CDs. She used one fifth of the money to buy one third of the CD's. What fraction of the money will she have left once she buys the CD's?

\mathrm{(A)}\ {{{\frac{1} {5}}}} \qquad \mathrm{(B)}\ {{{\frac{1} {3}}}} \qquad \mathrm{(C)}\ {{{\frac{2} {5}}}} \qquad \math...

Solution

Since she will use \frac{1} {5} of her money to buy \frac{1} {3} of the CD's, she will use \frac{3} {5} of her money to buy all the CD's. Thus, she will have 1-\frac{3} {5}=\frac{2} {5} of her money left. Hence, the answer is \boxed{C}

See Also

Looking for a challenging geometry text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Geometry by Richard Rusczyk.
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