Question

In a class 60% students arc boys and 40% are girls. By admitting 16 boys and 8 girls, the ratio of boys to girls becomes 8 : 5. Find the original number of boys and girls in the class.

Answer 1

Let x be the number of boys and y be the number of girls.
As 60% students are boys and 40% are girls.

`x/y = 60/40 = 3/2 => therefore x = 3/2y`

By admitting 16 more boys and 8 girls, now boys and girls are x + 16 and y + 8.

Since their ratios is 8 : 5

x = `3/2` y = 48