Problem:
Two pitchers contain orange juice. One pitcher is full and the other pitcher is full. Water is added to fill each pitcher completely, then both pitchers are poured into one large container. What fraction of the mixture in the large container is orange juice?
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Answer Choices:
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Solution:
Because the first pitcher was full of orange juice, after filling with water it contains of juice and of water. Because the second pitcher was full of orange juice, after filling it contains of orange juice and of water. In all, the amount of orange juice is out of a total of or of the mixture.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions