2011 AMC 10A 第 2 题

先试着解答 2011 AMC 10A 第 2 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2011 AMC 10A 解答,或核对答案

所有题目均经美国数学协会(MAA)官方合法授权使用。

2.

一个小洗发水瓶可装 3535 毫升洗发水,而一个大瓶可装 500500 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 3535 milliliters of shampoo, whereas a large bottle can hold 500500 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?

1111

1212

1313

1414

1515

答案:E
知识点:整除性估算
难度评级:660
解答:

所需瓶数为 50035=1007=1427. \dfrac{500}{35} = \dfrac{100}{7} = 14 \dfrac{2}{7}.

因此最少必须购买 1515 个小瓶。

所以正确答案是 E

The desired amount is 50035=1007=1427. \dfrac{500}{35} = \dfrac{100}{7} = 14 \dfrac{2}{7}.

This means that the smallest number of small bottles she must buy is 15.15.

Thus, E is the correct answer.

← 第 1 题#1
完整试卷

其他年份的第 2 题