AMC 8 2001 Problem 13

AMC8 2001 年第 13 题

统计与数据图表★★★☆☆

Of the 36 students in Richelle's class, 12 prefer chocolate pie, 8 prefer apple, and 6 prefer blueberry. Half of the remaining students prefer cherry pie and half prefer lemon. For Richelle's pie graph showing this data, how many degrees should she use for cherry pie?

在 Richelle 班的 36 名学生中，12 人喜欢巧克力派，8 人喜欢苹果，6 人喜欢蓝莓。剩下的学生中有一半喜欢樱桃派，另一半喜欢柠檬派。Richelle 的饼图显示了这些数据，她应该用多少角度表示樱桃派？

A.10
B.20
C.30
D.50
E.72

正确答案 · Correct Answer

解析 · Solution

Solution 1

There are 36 students in the class: 12 prefer chocolate pie, 8 prefer apple pie, and 6 prefer blueberry pie. Therefore, 36-12-8-6=10 students prefer cherry pie or lemon pie. Half of these prefer each, so 5 students prefer cherry pie. This means that

\displaystyle \frac{5}{36}

of the students prefer cherry pie, so

\displaystyle \frac{5}{36}

of the full

360^\circ

should be used for cherry pie. This is

\displaystyle \frac{5}{36} \cdot 360^\circ = 50^\circ

\text{D}

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