AMC 8 1999 Problem 9
AMC8 1999 年第 9 题
基本计数原理★★☆☆☆
Three flower 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
三个花坛如图所示重叠。花坛 A 有 500 株植物，花坛 B 有 450 株，花坛 C 有 350 株。花坛 A 和 B 共享 50 株，花坛 A 和 C 共享 100 株。植物的总数是
- A.850
- B.1000
- C.1150
- D.1300
- E.1450
正确答案 · Correct Answer
C
解析 · Solution
Solution 1
Plants shared by two beds have been counted twice, so the total is .
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 plants.
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