Problem:
A recipe that makes servings of hot chocolate requires squares of chocolate, cup sugar, cup water and cups milk. Jordan has squares of chocolate, cups of sugar, lots of water and cups of milk. If she maintains the same ratio of ingredients, what is the greatest number of servings of hot chocolate she can make?
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Solution:
Jordan has squares of chocolate, which is times the amount the recipe calls for. She has times the amount of sugar and times the amount of milk necessary to make the recipe. So the amount of milk limits the number of servings. Jordan cannot make more than servings of hot chocolate.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions