Question

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?​

Answer 1

Answer:

130

Step-by-step explanation:

Let the number of students in a class be 4x.

therefore, in ten classes, there are 40x students.

5 classes were half filled => 5 (4x)(1/2) = 10x students

3 classes were 3/4th filled => 3(4x)(3/4) = 9x students

2 classes were 1/8th empty, that is, 7/8th of the class was filled => 2(4x)(7/8) = 7x students

so number of students present = 10x + 9x+ 7x= 26x students

therefore number of students absent = 40x-26x= 14x.

but it is given that 70 students were absent.

=> 14x = 70

hence x = 5.

number of students who were present = 26(5) = 130.