2019 AMC 8 Problem 11
Attempt Problem 11 of the 2019 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2019 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 eighth grade class at Lincoln Middle School has students. Each student takes a math class or a foreign language class or both. There are eighth graders taking a math class, and there are eighth graders taking a foreign language class. How many eighth graders take only a math class and not a foreign language class?
Answer: D
Small hint:
First find how many students are counted twice
Big hint:
Only math = math total minus both classes
Video solution:
Click to load, then click again to play
Written solution:
The number of kids that are taking both classes is Subtracting this from the number of kids taking a math class will give us the number of kids taking only a math class.
The desired number is
Thus, the correct answer is D.
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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