There are 75% fewer boys than girls in Club A. The ratio of the number of boys to the number of girls in Club B is 3 : 8. There is an equal number of boys in Club A and Club B. If Club A has 36 more girls than Club B, how many boys are there in Club A?

1 answer

club A:
number of girls ---- 4x
number of boys ----- x

club B:
number of girls ---- 8y
number of boys ----- 3y

"There is an equal number of boys in Club A and Club B"
---> x = 3y
"Club A has 36 more girls than Club B"
---> 4x - 8y = 36 or x - 2y = 9

solve the two equations in x and y.
I would use substitution.