2011 AMC 10A 第 2 题

Question

一个小洗发水瓶可装

35

毫升洗发水，而一个大瓶可装

500

毫升。Jasmine 想购买最少数量的小瓶，足以完全装满一个大瓶。她必须买多少瓶？

A small bottle of shampoo can hold

35

milliliters of shampoo, whereas a large bottle can hold

500

milliliters of shampoo. Jasmine wants to buy the minimum number of small bottles necessary to completely fill a large bottle. How many bottles must she buy?

11

12

13

14

15

答案：E

知识点：整除性估算

难度评级：660

小提示：

比较

35

的倍数和

500

。

Compare multiples of

35

to

500

大提示：

35

的倍数中，第一个达到

500

的值给出所需瓶数。

The first multiple of

35

that reaches

500

gives the number of bottles

解答：

所需瓶数为

\dfrac{500}{35} = \dfrac{100}{7} = 14 \dfrac{2}{7}\text{。}

因此最少必须购买

15

个小瓶。

所以正确答案是 E。

The desired amount is

\dfrac{500}{35} = \dfrac{100}{7} = 14 \dfrac{2}{7}.

This means that the smallest number of small bottles she must buy is

15.

Thus, E is the correct answer.

2011 AMC 10A 第 2 题

答案：E

难度评级：660

小提示：

大提示：

解答：

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