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

There are 40 girls and 24 boys in the camp

Step-by-step explanation:

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

                               (this says that the ratio of boys to girls is 3: 5)

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

           (this says that the total number of boys an girls must 64)

Thus, we have two equations and two unknowns:

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

and substituting it into equation (2):

solving for we get:

.

Putting into equation (2), we solve for to get:

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

step-by-step explanation:

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