Problem 1

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Category: Algebra

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?

$$\textbf{(A) } 16 \qquad \textbf{(B) } 17 \qquad \textbf{(C) } 18 \qquad \textbf{(D) } 19 \qquad \textbf{(E) } 20$$
Difficulty: 2/100 — Very straightforward, simple division.
Core Concepts: arithmetic, word problems
Challenges: N/A
Techniques: Recognize that the maximum number of mugs results from dividing and rounding downwards.
Error-prone Steps: Rounding upwards incorrectly.
Ideal Time:
Experienced: ≤ 10 sec
Intermediate: ≤ 20 sec
Beginner: ≤ 30 sec