1996 AMC 8 第 19 题

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19.

East Junior High School 和 West Middle School 中,喜欢高尔夫、保龄球或网球的学生百分比如下。East(20002000 名学生):高尔夫 30%30\%,保龄球 48%48\%,网球 22%22\%。West(25002500 名学生):高尔夫 24%24\%,保龄球 36%36\%,网球 40%40\%。两校合计,喜欢网球的学生占百分之几?

The percent of students who prefer golf, bowling, or tennis at East Junior High School and West Middle School is as follows. At East (20002000 students): golf 30%30\%, bowling 48%48\%, tennis 22%22\%. At West (25002500 students): golf 24%24\%, bowling 36%36\%, tennis 40%40\%. In the two schools combined, the percent of students who prefer tennis is

30%30\%

31%31\%

32%32\%

33%33\%

34%34\%

答案:C
知识点:百分数平均数
难度评级:1090
解答:

East 喜欢网球的人数为 22%22\% 乘以 2000=4402000 = 440 人;West 喜欢网球的人数为 40%40\% 乘以 2500=10002500 = 1000 人。

两校合计 14401440 名学生喜欢网球,总人数为 45004500,比例为 14404500=32%\dfrac{1440}{4500} = 32\%

所以正确答案是 C

East has 22%22\% of 2000=4402000 = 440 tennis fans, and West has 40%40\% of 2500=10002500 = 1000.

Together 14401440 of the 45004500 students prefer tennis, which is 14404500=32%\dfrac{1440}{4500} = 32\%.

Thus, the correct answer is C .

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