Problem:
Camilla had twice as many blueberry jelly beans as cherry jelly beans. After eating pieces of each kind, she now has three times as many blueberry jelly beans as cherry jelly beans. How many blueberry jelly beans did she originally have?
Answer Choices:
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Solution:
Suppose Camilla originally had blueberry jelly beans and cherry jelly beans. After eating pieces of each kind, she now has blueberry jelly beans and cherry jelly beans. The conditions of the problem are equivalent to the equations and . Then , which means that and .
The problems on this page are the property of the MAA's American Mathematics Competitions