How many men and how many women are in a chemistry class?

Question

Three-fifths of the men in a chemistry class have beards and two-thirds of the women have long hair. If there are 120 men in the class and 46 are not in the above group, how many men and how many women are there in the class?

Answer 1

120 men, ⅗=72 have beards and ⅖=48 don’t.

Assume 46 (⅓) women don’t have long hair, then there are 3×46=138 women in the class.

There are 120 men and 138 women in the class.