1985 AMC 8 第 23 题

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23.

King 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。King 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
难度评级:950
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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