Question

There are 3/4 as many girls as there are boys.There are 63 students in the fifth grade. How many students are girls?

Answer 1

27 students are girls.

Explanation:

Given:

There are 3/4 as many girls as there are boys.

In the fifth grade total there are 63 students.

Now, to find the number of students that are girls.

Let the number of students that are boys be
`x.`

So, the number of students that are girls =
`(3)/(4) \ of\ x=(3x)/(4) .`

Total number of students = 63.

Now, to get the number of students that are girls we solve an equation:

`x+(3x)/(4) =63\\\\(4x+3x)/(4) =63\\\\(7x)/(4) =63\\\\Multiplying\ both\ sides\ by\ 4\ we\ get:\\\\7x=252\\\\Dividing\ both\ sides\ by\ 7\ we\ get:\\\\x=36.`

Now, substituting the value of
`x` :

`(3x)/(4) \\\\=(3* 36)/(4) \\\\=(108)/(4) \\\\=27.`

Therefore, 27 students are girls.