Problem:
Three flower beds overlap as shown. Bed has plants, bed has plants, and bed has plants. Beds and share plants, while beds and share . The total number of plants is
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Answer Choices:
A.
B.
C.
D.
E.
Solution:
Bed has plants it doesn't share with or . Bed has plants it doesn't share with or . And has it doesn't share with or . The total is plants.
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Plants shared by two beds have been counted twice, so the total is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions