1999 AMC 8 Problems/Problem 9
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Contents
[hide]Problem
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
Solution
Solution 1
Plants shared by two beds have been counted twice, so the total is .
Solution 2
Bed A has plants it doesn't share with B or C. Bed B has plants it doesn't share with A or C. And C has it doesn't share with A or B. The total is plants.
Video Solution
https://youtu.be/lajfUn8R6M4 ~DSA_Catachu
Video Solution 2
https://youtu.be/UGElt-v9n7A Soo, DRMS, NM
See Also
1999 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
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