1985 AMC 8 第 23 题

先试着解答 1985 AMC 8 第 23 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 1985 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。

23.

金氏初中有 12001200 名学生。每名学生每天上 55 节课。每位老师教 44 节课。每节课有 3030 名学生和 11 位老师。金氏初中有多少位老师?
King Middle School has 12001200 students. Each student takes 55 classes a day. Each teacher teaches 44 classes. Each class has 3030 students and 11 teacher. How many teachers are there at King Middle School?
3030
3232
4040
4545
5050
答案:E
知识点:双重计数
小提示:
先数每天的学生上课总次数:1200×51200 \times 5
Count the total number of student-class attendances: 1200×51200 \times 5
大提示:
除以 3030 得到每天开设的课数,再除以 44 得到老师人数
Divide by 3030 to get the number of classes, then by 44 to get the number of teachers
解答:
每天共有 1200×5=60001200 \times 5 = 6000 次学生上课。每节课有 3030 名学生,所以共有 600030=200\dfrac{6000}{30} = 200 节课。
每位老师教 44 节课,所以有 2004=50\dfrac{200}{4} = 50 位老师。
所以正确答案是 E。
Each day there are 1200×5=60001200 \times 5 = 6000 student-class attendances. Since each class holds 3030 students, there are 600030=200\dfrac{6000}{30} = 200 classes.
Each teacher teaches 44 classes, so there are 2004=50\dfrac{200}{4} = 50 teachers.
Thus, the correct answer is E .
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