simple equations IPM STD V

2/3 of the committee members are females. 1/4 of the male members are married. If there are 9 unmarried male members in the committee, then how many members are there in the committee?




Answer:

let the number of members be y

so, females = 2y/3

males = y - 2y/3 = y/3

number of married males = (1/4) x y/3 = y/12

unmarried males = y/3 - y/12 = 3y/12 = y/4

But unmarried males = 9 given

therefore, y/4 = 9

or, y = 36.

So, number of members in the committee is 36.