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1. A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 3 classes were half full. 5 classes were 3/4 full and 2 classes were 1/6 empty. A total of 74 students were absent. What is the total number of students in this school?
- A. 200
- B. 200
- C. 200
- D. 200
Answer: Option C
Explanation:
Let x = number of students in each class.
Then total number of students in school. is = 10x
If 3 classes are half full then we have 3x/2 students absent.
If 5 classes are 3/4 full that means that (1/4)*5x students are absent.
If 2 classes are 1/6 empty that means that (1/6)*2x students are absent.
Now we are told that
(3x/2) + (1/4)*5x + (1/6)*2x = 74
or,(3x/2) + (5x/4) + (x/3) = 74
or,18x + 15x + 4x = 888
or,7x = 280
x = 24
number of students in each class is 24
number of student in this school = 10x
= 10*24 = 240
ans: 240
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