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2009 AMC 8 Problems/Problem 15

Revision as of 13:26, 14 August 2011 by Mrdavid445 (talk | contribs) (Created page with "==Problem== A recipe that makes <math> 5</math> servings of hot chocolate requires <math> 2</math> squares of chocolate, <math> \frac{1}{4}</math> cup sugar, <math> 1</math> cup...")
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Problem

A recipe that makes $5$ servings of hot chocolate requires $2$ squares of chocolate, $\frac{1}{4}$ cup sugar, $1$ cup water and $4$ cups milk. Jordan has $5$ squares of chocolate, $2$ cups of sugar, lots of water and $7$ cups of milk. If she maintains the same ratio of ingredients, what is the greatest number of servings of hot chocolate she can make?


$\textbf{(A)}\ 5 \frac18 \qquad \textbf{(B)}\ 6\frac14 \qquad \textbf{(C)}\ 7\frac12 \qquad \textbf{(D)}\ 8 \frac34 \qquad \textbf{(E)}\ 9\frac78$

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