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2009 AMC 8 Question 15

AMC8 · 2009 AMC 8

Question 15

A recipe that makes $5$ servings of hot chocolate requires $2$ squares of chocolate, $\dfrac{1}{4}$ 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?
  1. $5 \dfrac{1}{8}$
  2. $6 \dfrac{1}{4}$
  3. $7 \dfrac{1}{2}$
  4. $8 \dfrac{3}{4}$
  5. $9 \dfrac{7}{8}$