Alice is making a batch of cookies and needs 2(1)/(2) cups of sugar. Unfortunately, her measuring cup holds only (1)/(4) cup of sugar. How many times must she fill that cup to get the correct amount of sugar?

2013 AMC 10A Problem 2 — Solution

2013 AMC 10A Problem 2

Below is the professionally curated solution for Problem 2 of the 2013 AMC 10A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2013 AMC 10A solutions, or check the answer key.

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Concepts:fraction

Difficulty rating: 560

Alice is making a batch of cookies and needs $2\frac{1}{2}$ cups of sugar. Unfortunately, her measuring cup holds only $\frac{1}{4}$ cup of sugar. How many times must she fill that cup to get the correct amount of sugar?

$8$

$10$

$12$

$16$

$20$

Solution:

Alice needs $2\frac12=\frac52$ cups of sugar.

Each full measuring cup gives $\frac14$ cup, so the number of fillings is $\frac52\div\frac14=\frac52\cdot4=10$ .

Thus, B is the correct answer.

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