The number of boys and girls in the class are in the ratio of 7:5. The number of boys is 8 more than the number of girls. Find the number of students in the class.

Given:

The number of boys and girls are in the ratio of $7:5$.

The number of boys is 8 more than the number of girls.

To do:

We have to find the total strength of the class.

Solution:

Let the number of boys be $5x$ and the number of girls is $7x$.

According to the question,

$7x = 5x+8$

$7x-5x=8$

$2x=8$

$x=\frac{8}{2}$

$x=4$

The number of boys $= 7x = 7(4) = 28$.

The number of girls $= 5x = 5(4) =20$.

The total strength of the class $= 28+20 = 48$.

Therefore, the total number of students in the class is $48$.

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Updated on: 10-Oct-2022

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