2026 AMC 8 Problem 8

Below is the video solution and professionally curated solution for Problem 8 of the 2026 AMC 8, 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.

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Concepts:percentage fraction

Difficulty rating: 960

A poll asked a number of people if they liked solving mathematics problems. Exactly $74\%$ answered “yes.” What is the fewest possible number of people who could have been asked the question?

$10$

$20$

$25$

$50$

$100$

Video solution:

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Written solution:

Exactly $74\%=\frac{74}{100}=\frac{37}{50}$ of the people answered yes. The total number of people must therefore be a multiple of $50$ , and $50$ people is possible.

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