1999 AMC 8 Problems/Problem 9

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problem

Three fower beds overlap as shown. Bed A has 500 plants, bed B has 450 plants, and bed C has 350 plants. Beds A and B share 50 plants, while beds A and C share 100. The total number of plants is (A) 850 (B) 1000 (C) 1150 (D) 1300 (E) 1450

solution

(C) 1150: Bed A has 350 plants it doesn't share with B or C. Bed B has 400 plants it doesn't share with A or C. And C has 250 it doesn't share with A or B. The total is 350 + 400 + 250 + 50 + 100 = 1150 plants. OR Plants shared by two beds have been counted twice, so the total is 500 + 450 + 350 ¡ 50 ¡ 100 = 1150 .

See Also

1999 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 8
Followed by
Problem 10
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All AJHSME/AMC 8 Problems and Solutions
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