2026 AMC 8 Problem 8

Attempt Problem 8 of the 2026 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 2026 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

8.

A poll asked a number of people if they liked solving mathematics problems. Exactly 74%74\% answered “yes.” What is the fewest possible number of people who could have been asked the question?
1010
2020
2525
5050
100100
Answer: D
Concepts:percentagefraction
Small hint:
Write 74%74\% as a fraction of the total
Big hint:
Reduce the percentage fraction and use its denominator
Video solution:
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Written solution:
Exactly 74%=74100=375074\%=\frac{74}{100}=\frac{37}{50} of the people answered yes. The total number of people must therefore be a multiple of 5050, and 5050 people is possible.
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