Question

last summer at Camp okeefenokee the ratio of the number of a boy campers to the number of girl campers with 8:7. If there were a total of 195 campers, how many boy campers were there? how many girl campers?

Answer 1

Number of boys=x
number of girls=y.

We can suggest this system of equations:
x/y=8/7 ⇒x=8y/7
x+y=195

this system of equations can be solve by substitution method.

(8y/7)+y=195
least common multiple=7
8y+7y=1365
15y=1365
y=1365/15
y=91

x=8y/7
x=8*91 / 7
x=728/7
x=104

Answer: there were 104 boy campers and 91 girl campers.