1989 AMC 8 第 21 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。

21.

Jack 有一袋 128128 个苹果。他先把其中的 25%25\% 卖给 Jill。接着,他又把袋中剩余苹果的 25%25\% 卖给 June。之后,他把袋中剩下的苹果中最亮的一个送给了老师。最后袋中还剩多少个苹果?

Jack had a bag of 128128 apples. He sold 25%25\% of them to Jill. Next he sold 25%25\% of those remaining to June. Of those apples still in his bag, he gave the shiniest one to his teacher. How many apples did Jack have then?

77

6363

6565

7171

111111

答案:D
知识点:百分数
难度评级:860
解答:

第一次卖掉 25%25\% 后,剩下 34×128=96\frac{3}{4} \times 128 = 96 个苹果。第二次又卖掉余数的 25%25\%,剩下 34×96=72\frac{3}{4} \times 96 = 72 个苹果。

再送给老师 11 个后,剩下 721=7172 - 1 = 71 个。

所以正确答案是 D

After selling 25%25\% to Jill, Jack keeps 34×128=96\frac{3}{4} \times 128 = 96 apples. After selling 25%25\% of those to June, he keeps 34×96=72\frac{3}{4} \times 96 = 72 apples.

He then gives 11 to his teacher, leaving 721=71.72 - 1 = 71.

Thus, the correct answer is D .

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