Question

If the ratio of girls to boys is 2:3 and there are 42 boys .find the number of girls and total number of students? This sum is of ratio and proportion.

Answer 1

There are `70` students in total, of which `28` are girls.

Explanation:

We begin by setting up an algebraic relationship to model the ratio of girls to boys, with

• `g =` the number of boys
• `b =` the number of girls:

So

`1/2 * g = 1/3 * b`

As we know the number of boys, we can plug in that value:

`1/2 * g =`1/3 * 42#

This relationship simplifies to

`1/2 * g = 14`

which in turn simplifies to

`g = 14 * 2 = 28`

Then, to determine the total number of students, we can simply total the number of girls + the number of boys:

`28 + 42 = 70`

Therefore, there are `70` total students, of which `28` are girls and `42` are boys.