Difference between revisions of "2005 AMC 12B Problems/Problem 3"
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== Problem == | == 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 her money to buy one third of the CDs. What fraction of her money will she have left after she buys all the CDs? | |
<math> | <math> | ||
− | \mathrm{(A)}\ \ | + | \mathrm{(A)}\ \frac15 \qquad |
− | \mathrm{(B)}\ \ | + | \mathrm{(B)}\ \frac13 \qquad |
− | \mathrm{(C)}\ \ | + | \mathrm{(C)}\ \frac25 \qquad |
− | \mathrm{(D)}\ | + | \mathrm{(D)}\ \frac23 \qquad |
− | \mathrm{(E)}\ \ | + | \mathrm{(E)}\ \frac45 |
</math> | </math> | ||
Revision as of 21:11, 17 April 2009
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 her money to buy one third of the CDs. What fraction of her money will she have left after she buys all the CDs?
Solution
Using the Pythagorean theorem, we have
.