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. 5 classes were half full, 3 classes were 3/4 full and 2 classes were 1/8 empty. A total of 70 students were absent. What is the total number students in this school?
Solution
Correct Answer: Option A
Let x=number of students in each class Then 10x=total number of students in school If 5 classes are half full then we have 5x/2 students absent If 3 classes are 3/4 full that means that (1/4)*3x students are absent If 2 classes are 1/8 empty that means that (1/8)*2x students are absent Now we are told that: (5x/2)+(1/4)*3x+(1/8)*2x=70 simplify (5x/2)+(3x/4)+(x/4)=70 multiply each term by 4 and we get: 10x+3x+x=280 14x=280 x=20----------------------number of students in each class 10x=10*20=200--------------number of student in this school
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