2010 AMC 8 Problem 11
Attempt Problem 11 of the 2010 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 2010 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
11.
The top of one tree is feet higher than the top of another tree. The heights of the two trees are in the ratio In feet, how tall is the taller tree?
Answer: B
Small hint:
The taller tree has four of those equal parts.
Big hint:
The ratio means the height difference is one ratio part.
Solution:
Let be the heights of bigger and smaller trees respectively. Then, and If we substitute, we get
Thus, the answer is B .
Problem 11 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
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