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

Answer:

There are 40 girls and 24 boys in the camp

Step-by-step explanation:

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

$\dfrac{b}{g} = \dfrac{3}{5}$                                (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:

$(1). \: \: \dfrac{b}{g} = \dfrac{3}{5}$  

$(2). \: \:b+g =64$  

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

$b= \dfrac{3}{5}g,$

and substituting it into equation (2):

$\dfrac{3}{5}g+g=64$

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.