2007 AMC 12B 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.

一位老师给一个班考试,班上 10%10\% 是三年级学生,90%90\% 是四年级学生。全班平均分为 8484。所有三年级学生得分相同,四年级学生平均分为 8383。每个三年级学生得了多少分?

A teacher gave a test to a class in which 10%10\% of the students are juniors and 90%90\% are seniors. The average score on the test was 84.84. The juniors all received the same score, and the average score of the seniors was 83.83. What score did each of the juniors receive on the test?

8585

8888

9393

9494

9898

答案:C
知识点:平均数百分数
难度评级:1330
解答:

取班上有 1010 名学生,则有 11 名三年级和 99 名四年级。

全班总分为 1084=84010\cdot84=840,四年级学生贡献 983=7479\cdot83=747840747=93. 840-747=93.

所以正确答案是 C

Take a class of 1010 students, so there is 11 junior and 99 seniors.

The total of all scores is 1084=840,10\cdot84=840, and the seniors contribute 983=747.9\cdot83=747. So the junior scored 840747=93. 840-747=93.

Thus, the correct answer is C.

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