# 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.

##### 1 Answer

There are

#### 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

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

This relationship simplifies to

which in turn simplifies to

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

**Therefore,** there are