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. How many students are in this school when no students are absent?
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Let students of each class = x
Then total students = 10x
In 5 classes half the students were absent= x/2
In 3 classes 1/4 were absent =x/4
In 2 classes 1/8 were absent =x/8
total number of students absent = x/2 + x/4 + x/8 = 70
Therefore x = 80
Total students if no-one was absent = 10x = 10 × 80 = 800
Then total students = 10x
In 5 classes half the students were absent= x/2
In 3 classes 1/4 were absent =x/4
In 2 classes 1/8 were absent =x/8
total number of students absent = x/2 + x/4 + x/8 = 70
Therefore x = 80
Total students if no-one was absent = 10x = 10 × 80 = 800
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