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
