Answered

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 :

There are 104 boys and 91 girls. 104+91=195        104:91 = 8:7
carlosego

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

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