Question

In a school 3/7 of the students are girls and the rest are boys.1/4 of the boys are below ten years of age and 5/6 of the girls are also below ten years of age.If the number of students above ten years of age is 500 then the total number of students in the school is

Answer 1

Answer:

1000

Step-by-step explanation:

Let the number of students = x.

Number of girls = 3x/7.

Number of boys = 4x/7.

Below 10 years boys = (4x/7) 1/4 = 4x/28 = x/7

The girls are also below ten years of age = (3x/7) 5/6 = 5x/14

So, above ten years = x - (x/7 + 5x/14) = x- x/2 = x/2  

Given, x/2= 500  

or x = 1000.

Total number of students = 1000.