2010 AMC 8 第 9 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。

9.

Ryan 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 Ryan 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
难度评级:960
解答:

三份测试共有 25+40+10=7525+40+10 = 75 题。

第一份测试答对 0.825=200.8\cdot25 = 20 题。

第二份测试答对 0.940=360.9\cdot40 = 36 题。

第三份测试答对 0.710=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 0.825=200.8\cdot25 = 20 problems.

On the second test, he solved 0.940=360.9\cdot40 = 36 problems.

On the third test, he solved 0.710=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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