2015 AMC 10A 第 5 题

先试着解答 2015 AMC 10A 第 5 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2015 AMC 10A 解答,或核对答案

所有题目均经美国数学协会(MAA)官方合法授权使用。

5.

Patrick 先生教 1515 名学生数学。他批改测验时发现,在批完除 Payton 以外所有人的试卷后,全班平均分为 8080。批完 Payton 的试卷后,测验平均分变为 8181。Payton 的测验分数是多少?

Mr. Patrick teaches math to 1515 students. He was grading tests and found that when he graded everyone's test except Payton's, the average grade for the class was 80.80. After he graded Payton's test, the class average became 81.81. What was Payton's score on the test?

8181

8585

9191

9494

9595

答案:E
知识点:平均数
难度评级:870
解答:

1414 份已批改试卷的总分为 1480=112014\cdot 80=1120

加入 Payton 的试卷后,总分为 1581=121515\cdot 81=1215,所以 Payton 的分数为 12151120=951215-1120=95

所以正确答案是 E

The total for the first 1414 graded tests was 1480=112014\cdot 80=1120.

After Payton's test was included, the total became 1581=121515\cdot 81=1215. Therefore Payton's score was 12151120=951215-1120=95.

Thus, E is the correct answer.

← 第 4 题#4
完整试卷

其他年份的第 5 题