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).

1.

The instructions on a 350350-gram bag of coffee beans say that proper brewing of a large mug of pour-over coffee requires 2020 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?
1616
1717
1818
1919
2020
Answer: B
Concepts:floor and ceiling functions
Small hint:
Each mug uses 2020 grams, so divide the total mass by 2020
Big hint:
A partial mug does not count, so round 35020\frac{350}{20} down to a whole number
Solution:
Each mug needs 2020 grams, so we divide: 35020=17.5.\frac{350}{20} = 17.5. A half mug isn’t a mug, so round down. That leaves 17.17. Thus, B is the correct answer.
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