AMC10 2013 A

AMC10 2013 A · Q2

AMC10 2013 A · Q2. It mainly tests Fractions.

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?

Alice在做一批饼干，需要$2\frac{1}{2}$杯糖。不幸的是，她的量杯只能装$\frac{1}{4}$杯糖。她需要填充量杯多少次才能得到正确的糖量？

(A) 8 8

(B) 10 10

(D) 16 16

(E) 20 20

Answer

Correct choice: (B)

正确答案：（B）

Solution

Filling the cup 4 times will give Alice 1 cup of sugar. To get $2\frac{1}{2}$ cups of sugar, she must fill it $4 + 4 + \frac{1}{2} \cdot 4 = 10$ times.

填充量杯4次将给Alice 1杯糖。要得到$2\frac{1}{2}$杯糖，她必须填充$4 + 4 + \frac{1}{2} \cdot 4 = 10$次。

Topics

AR.001 Fractions