Answer: There were 135 boy campers and 90 girl campers.
Step-by-step explanation:
Let be "b" the number of boys campers and "g" the number of girl campers.
Given the following ratio of the number of boy campers to girl campers:
[tex]9:6[/tex]
We know that for every 9 boys campers there were 6 girl camper; if we add them we get this sum:
[tex]9+6=15\ campers[/tex]
Knowing that there were a total of 225 campers, we can set up the following proportion in order to find the value of "b". Then, solving for "b" we get:
[tex]\frac{9}{15}=\frac{b}{225}\\\\b=(225)(\frac{9}{15})\\\\b=135[/tex]
Finally, we get that the number of girl campers was:
[tex]g=225-135=90[/tex]