1995 AMC 8 第 7 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。

7.

在克洛弗维尤初中,一半学生乘校车回家,四分之一乘汽车回家,十分之一骑自行车回家。其余学生步行回家。步行回家的学生占全体的几分之几?

At Clover View Junior High, one half of the students go home on the school bus. One fourth go home by automobile. One tenth go home on their bicycles. The rest walk home. What fractional part of the students walk home?

116\dfrac{1}{16}

320\dfrac{3}{20}

13\dfrac13

1720\dfrac{17}{20}

910\dfrac{9}{10}

答案:B
知识点:分数
难度评级:730
小提示:

给这些分数通分再相加

Give the fractions a common denominator to add them

大提示:

11 这个整体减去乘车或骑车回家的总比例

Subtract the total who ride from 11 (the whole group)

解答:

乘车或骑车的学生占

12+14+110=1020+520+220=1720 \begin{aligned} \dfrac12 + \dfrac14 + \dfrac{1}{10} &= \dfrac{10}{20} + \dfrac{5}{20} + \dfrac{2}{20} \\ &= \dfrac{17}{20} \end{aligned}\text{。}

所以步行的比例是 11720=3201 - \dfrac{17}{20} = \dfrac{3}{20}

所以正确答案是 B

The students who ride make up

12+14+110=1020+520+220=1720. \begin{aligned} \dfrac12 + \dfrac14 + \dfrac{1}{10} &= \dfrac{10}{20} + \dfrac{5}{20} + \dfrac{2}{20} \\ &= \dfrac{17}{20}. \end{aligned}

So the fraction who walk is 11720=320.1 - \dfrac{17}{20} = \dfrac{3}{20}.

Thus, the correct answer is B .

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