2009 AMC 8 Problem 15

A recipe that makes 5 servings of hot chocolate requires 2 squares of chocolate, 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\frac{1}8\qquad\textbf{(B)}\ 6\frac{1}4\qquad\textbf{(C)}\ 7\frac{1}2\qquad\textbf{(D)}\ 8\frac{3}4\qquad\textbf{(E)}\ 9\frac{7}8

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.