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:

 $\frac{x}{y} = \frac{8}{7}$

$x + y = 195$

Rewriting the first equation we have:

 $x = \frac{8}{7}y$

Substituting in the second equation:

 $\frac{8}{7}y + y = 195$

By clearing the variable we have:

$8y + 7y = 1365 15y = 1365$

$y =\frac{1365}{15} y = 91$

Then the value of x is:

$x = 195 - y x = 195 - 91 x = 104$

Answer:

104 boys campers

91 girls campers