Question

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?

$10$

$20$

$25$

$50$

$100$

Answer: D

Concepts:percentage fraction

Difficulty rating: 960

Video solution:

Click to load, then click again to play

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.

2026 AMC 8 Problem 8

Answer: D

Difficulty rating: 960

Video solution:

Written solution:

Problem 8 in Other Years