King School has an enrollment of 900 students. The school day consists of 6 class periods during which each class is taught by o

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问题 King School has an enrollment of 900 students. The school day consists of 6 class periods during which each class is taught by one teacher. There are 30 students per class. Each teacher teaches a class during 5 of the 6 class periods and has one class period free. No students have a free class period. How many teachers does the school have?

选项 A、25
B、30
C、36
D、60
E、150

答案C

解析 If each teacher has 5 class periods a day and each class has 30 students, then each teacher has (5)(30) students per day. Each of the 900 students has 6 classes per day, from which it follows that all the teachers combined have a total of (6)(900) students per day. Therefore, the school has or 36 teachers.
The correct answer is C.
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