Question

The ratio of boys to girls in a tennis camp is 3:5. If there are 64 campers, how many are girls?

Answer 1

There are 40 girls and 24 boys in the camp

Explanation:

let
`b` be the number of boys and
`g` be the number of girls in the camp, then when know that

`(b)/(g) = (3)/(5)` (this says that the ratio of boys to girls is 3: 5)

And since there are a total of 64 campers, we have

`b+g =64` (this says that the total number of boys an girls must 64)

Thus, we have two equations and two unknowns:

`(1). \: \: (b)/(g) = (3)/(5)`

`(2). \: \:b+g =64`

and we solve this system by first solving for
`b` in equation (1):

`b= (3)/(5)g,`

and substituting it into equation (2):

`(3)/(5)g+g=64`

solving for
`g` we get:

`\boxed{g=40}`.

Putting
`g=40` into equation (2), we solve for
`b` to get:

`b+40=64`

`\boxed{b=24}`

Thus, there are 40 girls and 24 boys in the camp.