1996 AMC 8 第 19 题

先试着解答 1996 AMC 8 第 19 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 1996 AMC 8 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。

19.

下面的饼图显示了 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。East 的学生总数为 20002000,West 的学生总数为 25002500。两校合计,喜欢网球的学生占百分之几?
The pie charts below indicate the percent of students who prefer golf, bowling, or tennis at East Junior High School and West Middle School. The total number of students at East is 20002000 and at West, 2500.2500. 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
小提示:
分别求每所学校实际有多少名学生喜欢网球,而不是只看百分比。
Find the actual number of tennis fans at each school, not just the percents
大提示:
把两校喜欢网球的人数相加,再除以总人数 45004500。
Add the two counts and divide by the total of 45004500 students
解答:
East 喜欢网球的人数为 0.22⋅2000=4400.22 \cdot 2000 = 440 人;West 喜欢网球的人数为 0.40⋅2500=10000.40 \cdot 2500 = 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 0.22⋅2000=4400.22 \cdot 2000 = 440 tennis fans, and West has 0.40⋅2500=1000.0.40 \cdot 2500 = 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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