2015 AMC 8 Problem 15
Attempt Problem 15 of the 2015 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 2015 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
15.
At Euler Middle School, students voted on two issues in a school referendum with the following results. voted in favor of the first issue and voted in favor of the second issue. If there were exactly students who voted against both issues, how many students voted in favor of both issues?
Answer: D
Small hint:
First find how many students voted for at least one issue.
Big hint:
Use inclusion-exclusion on the two yes-vote counts.
Video solution:
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Written solution:
Since students voted against both, we know that people voted for at least one.
As we know that students voted for the first issue, and students voted for the second issue, and students that voted for at least one issue, we conclude that the number of students that voted for both is
Thus, the correct answer is D .
Problem 15 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
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