Question

The ratio of girls to boys in the 6th grade is 6 to7. How many girls are there if there are 364 total students?

Answer 1

168

Explanation:

This is a proportion problem, but with a small trick.

Boys/Girls = 7/6

Here is the trick: add 1 to each side of the equation

(boys/girls) + 1 = (7/6) + 1

(boys + girls)/girls = 13/6

364/girls = 13/6 => 13*(girls) = 6*364 = 2184 => girls = 168

Answer 2

`168` girls

Explanation:

Since the ratio of girls to boys is
`6:7`, we can let the number of girls be
`6x` and the number of boys be
`7x`. We are given that there are a total of
`364` students, so we can write the following equation to solve for
`x`:

`6x+7x=364`

Solving for
`x`, we get:

`6x+7x=364`

`13x=364` (Simplify LHS)

`(13x)/(13) =(364)/(13)` (Divide both sides of the equation by
`13` to get rid of
`x`'s coefficient)

`x=28` (Simplify)

Therefore, there are
`6x=6*28=168` girls in the 6th Grade. Hope this helps!