2025 AMC 10B Problem 1

Attempt Problem 1 of the 2025 AMC 10B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2025 AMC 10B solutions, or check the answer key.

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

The instructions on a $350$ -gram bag of coffee beans say that proper brewing of a large mug of pour-over coffee requires $20$ grams of coffee beans. What is the greatest number of properly brewed large mugs of coffee that can be made from the coffee beans in that bag?

$16$

$17$

$18$

$19$

$20$

Answer: B

Concepts:floor and ceiling functions

Difficulty rating: 860

Solution:

Each mug needs $20$ grams, so we divide: $350 / 20 = 17.5.$ A half mug isn't a mug, so round down. That leaves $17.$ Thus, B is the correct answer.

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