1995 AMC 8 第 17 题

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17.

下表给出安维尔和克利奥纳两所小学各年级学生所占百分比:

KK 11 22 33 44 55 66
安维尔 16%16\% 15%15\% 15%15\% 14%14\% 13%13\% 16%16\% 11%11\%
克利奥纳 12%12\% 15%15\% 14%14\% 13%13\% 15%15\% 14%14\% 17%17\%

安维尔有 100100 名学生,克利奥纳有 200200 名学生。两所学校合计,有百分之几的学生在 66 年级?

The table below gives the percent of students in each grade at Annville and Cleona elementary schools:

KK 11 22 33 44 55 66
Annville 16%16\% 15%15\% 15%15\% 14%14\% 13%13\% 16%16\% 11%11\%
Cleona 12%12\% 15%15\% 14%14\% 13%13\% 15%15\% 14%14\% 17%17\%

Annville has 100100 students and Cleona has 200200 students. In the two schools combined, what percent of the students are in grade 6?6?

12%12\%

13%13\%

14%14\%

15%15\%

28%28\%

答案:D
知识点:百分数平均数
难度评级:980
小提示:

分别求每所学校的 66 年级学生人数

Find the number of grade-66 students at each school separately

大提示:

用两校合计的 66 年级人数除以总人数 300300

Divide the combined grade-66 count by the 300300 total students

解答:

安维尔的六年级人数为 11%11\% 乘以 100=11100 = 11 人;克利奥纳的六年级人数为 17%17\% 乘以 200=34200 = 34 人。

合计为 11+34=4511 + 34 = 45 人,占总人数 30030045300=15%\dfrac{45}{300} = 15\%

所以正确答案是 D

Annville has 11%11\% of 100=11100 = 11 sixth graders, and Cleona has 17%17\% of 200=34200 = 34 sixth graders.

Combined, that is 11+34=4511 + 34 = 45 out of 300300 students, which is 45300=15%.\dfrac{45}{300} = 15\%.

Thus, the correct answer is D .

第 16 题#16
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