2025 AMC 10B Problem 1

Below is the professionally curated solution for Problem 1 of the 2025 AMC 10B, 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.

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Concepts:floor and ceiling functions

Difficulty rating: 860

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

Solution:

Each mug needs 2020 grams, so we divide: 350/20=17.5.350 / 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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