2005 AMC 12B 第 4 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。

4.

学年开始时,Lisa 的目标是在全年 5050 次小测中至少 80%80\% 得 A。前 3030 次小测中她有 2222 次得 A。若要达成目标,剩下的小测中她最多有多少次可以低于 A?

At the beginning of the school year, Lisa's goal was to earn an A on at least 80%80\% of her 5050 quizzes for the year. She earned an A on 2222 of the first 3030 quizzes. If she is to achieve her goal, on at most how many of the remaining quizzes can she earn a grade lower than an A?

11

22

33

44

55

答案:B
知识点:百分数
难度评级:1050
解答:

Lisa 至少需要 0.850=400.8 \cdot 50 = 40 次 A。

她已经有 2222 次,所以剩下 2020 次中还需要 4022=1840 - 22 = 18 次 A。

因此最多可以有 2018=220 - 18 = 2 次低于 A。

所以正确答案是 B

Lisa needs an A on at least 0.850=400.8 \cdot 50 = 40 quizzes.

She has 2222 already, so she needs 4022=1840 - 22 = 18 more of the remaining 2020 quizzes.

She can earn a lower grade on at most 2018=220 - 18 = 2 of them.

Thus, the correct answer is B.

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