MathDB
Recipe

Source:

November 26, 2009
ratio

Problem Statement

A recipe that makes 5 5 servings of hot chocolate requires 2 2 squares of chocolate, 14 \frac{1}{4} cup sugar, 1 1 cup water and 4 4 cups milk. Jordan has 5 5 squares of chocolate, 2 2 cups of sugar, lots of water and 7 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? <spanclass=latexbold>(A)</span> 518<spanclass=latexbold>(B)</span> 614<spanclass=latexbold>(C)</span> 712<spanclass=latexbold>(D)</span> 834<spanclass=latexbold>(E)</span> 978 <span class='latex-bold'>(A)</span>\ 5 \frac18 \qquad <span class='latex-bold'>(B)</span>\ 6\frac14 \qquad <span class='latex-bold'>(C)</span>\ 7\frac12 \qquad <span class='latex-bold'>(D)</span>\ 8 \frac34 \qquad <span class='latex-bold'>(E)</span>\ 9\frac78