At the Hardey Fitness Center, the management did a survey of their membership. The average age of the female members was \(40 \) years old. The average age of the male members was \(25\) years old. The average age of the entire membership was \(30\) years old. What is the ratio of the female to male members? Express your answer as a common fraction.
Let f be the number of female members and m be the number of male members. We know the following:
40f + 25m = 30(f + m)
Simplifying this equation, we get:
15f = 5m
Therefore, the ratio of female to male members is f/m=1/3.