2010 AMC 8 第 9 题

先试着解答 2010 AMC 8 第 9 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 2010 AMC 8 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。

9.

瑞安在一份有 2525 道题的测试中答对了 80%80\%,在一份有 4040 道题的测试中答对了 90%90\%,在一份有 1010 道题的测试中答对了 70%70\%。所有题目中瑞安答对了百分之多少?
Ryan got 80%80\% of the problems correct on a 2525-problem test, 90%90\% on a 4040-problem test, and 70%70\% on a 1010-problem test. What percent of all the problems did Ryan answer correctly?
 63\ 63
 75\ 75
 80\ 80
 84\ 84
 86\ 86
答案:D
知识点:百分数
小提示:
用答对总题数除以总题数
Divide the total correct answers by the total number of problems.
大提示:
将每份测试的百分比转换成答对题数
Convert each test percentage into a number of correct answers.
解答:
三份测试共有 25+40+10=7525+40+10 = 75 题。
第一份测试答对 0.8⋅25=200.8\cdot25 = 20 题。
第二份测试答对 0.9⋅40=360.9\cdot40 = 36 题。
第三份测试答对 0.7⋅10=70.7\cdot10 = 7 题。
因此他总共答对 20+36+7=6320+36+7=63 题,答对比例为 6375=84%\dfrac{63}{75} = 84\%。
所以正确答案是 D。
There were a total of 25+40+10=7525+40+10 = 75 problems.
On the first test, he solved 0.8⋅25=200.8\cdot25 = 20 problems.
On the second test, he solved 0.9⋅40=360.9\cdot40 = 36 problems.
On the third test, he solved 0.7⋅10=70.7\cdot10 = 7 problems.
Therefore, he solved a total of 20+36+7=63.20+36+7=63. This means the fraction he solved is 6375=84%. \dfrac{63}{75} = 84\%.
Therefore, the answer is D .
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