#### Question

The ratio between the number of boys and the number of girls in a class is 4:3 . If there were 20 more boys and 12 less girls, the ratio would have been 2:1. Find the total number of students in

the class.

#### Solution

Let the number of boys and girls in the class be 4x and 3x respectively. According to the given information,

`(4x +20) /(3x - 12)= 2/1`

4x + 20 = 6x - 24

44 = 2x

x = 22

Therefore,

Number of boys = 4 × 22 = 88

Number of girls = 3 × 22 = 66

∴ Number of students = 88 + 66 = 154

Is there an error in this question or solution?

Solution The Ratio Between the Number of Boys and the Number of Girls in a Class is 4:3 . If There Were 20 More Boys and 12 Less Girls, the Ratio Would Have Been 2:1. Find the Total Number of Stude Concept: Ratio and Proportion Example.