2009 AMC 8 Problems/Problem 15

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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?


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