2013 AMC 10A Problem 2

Question

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

Concepts:fraction

Convert the mixed number of cups to an improper fraction

Divide the needed sugar by the cup size

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.

Problem 2 in other years