1999 AMC 8 Problem 9
Attempt Problem 9 of the 1999 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1999 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
9.
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
Answer: C
Small hint:
Add the three bed counts first
Big hint:
Subtract the overlaps that were counted twice
Solution:
Note there are plants that are in two beds and there are no plants in all three beds.
The total number of plants is then We subtract to get rid of the plants that we counted twice.
Thus, C is the correct answer.
Problem 9 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
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- 1997 AMC 8
- 1998 AMC 8
- 2000 AMC 8
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