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Defining variables we have:
x: number of boys
y: number of girls
We then have the following system of equations:
[tex]\frac{x}{y} = \frac{8}{7}[/tex]
[tex]x + y = 195[/tex]
Rewriting the first equation we have:
[tex]x = \frac{8}{7}y[/tex]
Substituting in the second equation:
[tex]\frac{8}{7}y + y = 195[/tex]
By clearing the variable we have:
[tex]8y + 7y = 1365 15y = 1365[/tex]
[tex]y =\frac{1365}{15} y = 91[/tex]
Then the value of x is:
[tex]x = 195 - y x = 195 - 91 x = 104[/tex]
Answer:
104 boys campers
91 girls campers