2025 AMC 12B Problem 1

Attempt Problem 1 of the 2025 AMC 12B 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 12B 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:
Divide the total grams by the grams needed per mug
Big hint:
Only whole mugs count, so round 35020\dfrac{350}{20} down
Solution:
Each mug uses 2020 grams, and 35020=17.5.\dfrac{350}{20} = 17.5. Only complete mugs can be brewed, so the greatest number is 17.17.
Thus, the correct answer is B.
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