2016 AMC 8 第 12 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。

12.

Jefferson Middle School 的男生和女生人数相同。女生中的四分之三和男生中的三分之二参加了实地考察。参加实地考察的学生中,女生占几分之几?

Jefferson Middle School has the same number of boys and girls. Three-fourths of the girls and two-thirds of the boys went on a field trip. What fraction of the students on the field trip were girls?

12\dfrac{1}{2}

917\dfrac{9}{17}

713\dfrac{7}{13}

23\dfrac{2}{3}

1415\dfrac{14}{15}

答案:B
知识点:分数比与比例
难度评级:1170
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文字解答:

假设有 1212 名女生和 1212 名男生,那么参加实地考察的有 99 名女生和 88 名男生,所以参加者中女生所占的比例是 99+8=917\dfrac{9}{9+8}=\dfrac9{17}

所以正确答案是 B

Suppose there are 1212 girls and 1212 boys. Then 99 girls and 88 boys go on the field trip, so the fraction of field-trip students who are girls is 99+8=917.\dfrac{9}{9+8}=\dfrac9{17}.

Thus, B is the correct answer.

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