Question

last summer, at camp okey fun okey, the ratio of the number of boy campers to the number of the girl campers was 8:7 if there were a total of 195 campers, how many boy campers were there? how many girl campers?

Answer 1

There are 104 boys and 91 girls. 104+91=195        104:91 = 8:7

Answer 2

Defining variables we have:

x: number of boys

y: number of girls

We then have the following system of equations:

`(x)/(y) = (8)/(7)`

`x + y = 195`

Rewriting the first equation we have:

`x = (8)/(7)y`

Substituting in the second equation:

`(8)/(7)y + y = 195`

By clearing the variable we have:

`8y + 7y = 1365  15y = 1365`

`y =(1365)/(15)   y = 91`

Then the value of x is:

`x = 195 - y  x = 195 - 91  x = 104`

Answer:

104 boys campers

91 girls campers