2018 AMC 12A 第 1 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

1.

一个大瓮里有 100100 个球,其中 36%36\% 是红球,其余是蓝球。必须取出多少个蓝球,才能使瓮中红球的百分比变为 72%72\%? (不取出红球。)

A large urn contains 100100 balls, of which 36%36\% are red and the rest are blue. How many of the blue balls must be removed so that the percentage of red balls in the urn will be 72%?72\%? (No red balls are to be removed.)

2828

3232

3636

5050

6464

答案:D
知识点:百分数
难度评级:890
解答:

原来有 3636 个红球,而且这个数量保持不变。若红球要占全瓮的 72%72\%,瓮中必须有 36÷0.72=5036 \div 0.72 = 50 个球。因为 10050=50100 - 50 = 50,所以正好要取出 5050 个蓝球。

所以正确答案是 D

There are 3636 red balls, and this count stays fixed. For the red balls to be 72%72\% of the urn, the urn must contain 36÷0.72=5036 \div 0.72 = 50 balls. Since 10050=50100 - 50 = 50, exactly 5050 blue balls are removed.

Thus, the correct answer is D.

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