2013 AMC 10A 第 2 题

Question

Alice 正在做一批饼干，需要

2\frac{1}{2}

杯糖。可惜她的量杯每次只能装

\frac{1}{4}

杯糖。她必须装满这个量杯多少次，才能得到所需的糖量？

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

知识点：分数

先把带分数化成假分数。

Convert the mixed number of cups to an improper fraction

用需要的糖量除以量杯容量。

Divide the needed sugar by the cup size

Alice 需要

2\frac12=\frac52

杯糖。

每次量杯装

\frac14

杯，所以需要

\frac52\div\frac14=\frac52\cdot4=10

次。

所以正确答案是 B。

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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