1999 AMC 8 第 18 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。

18.

他们得知同一晚有一场大型音乐会,出席人数会减少 25%25\%。他们应该为这个较小的聚会做多少份饼干食谱?

They learn that a big concert is scheduled for the same night and attendance will be down 25%.25\%. How many recipes of cookies should they make for their smaller party?

66

88

99

1010

1111

答案:E
知识点:百分数取整函数
难度评级:1310
解答:

现在聚会上只有 人。这意味着需要 份食谱。 108(114)=10834=81 108 \cdot \left(1 - \dfrac{1}{4}\right) = 108 \cdot \dfrac{3}{4} = 81 81215=16215=11 \left\lceil \dfrac{81 \cdot 2}{15} \right\rceil = \left\lceil \dfrac{162}{15} \right\rceil = 11

所以正确答案是 E

There will now only be 108(114)=10834=81 108 \cdot \left(1 - \dfrac{1}{4}\right) = 108 \cdot \dfrac{3}{4} = 81 people at the party. This means we need 81215=16215=11 \left\lceil \dfrac{81 \cdot 2}{15} \right\rceil = \left\lceil \dfrac{162}{15} \right\rceil = 11 recipes.

Thus, E is the correct answer.

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