There were 110 adults enrolled in the Raeann Swimming School in 2015. ³₁₁ of the adults were men. Additional adults joined the swimming school in 2016. For every 3 men who joined the swimming school, 2 women joined the swimming school. If there was an equal number of women and men in 2016, how many women joined the school in that year?

	Men	Women
Before	30	80
Change	+ 3 u	+ 2 u
After	30 + 3 u	80 + 2 u

Fraction of adults who are women
= 1 - ³₁₁
= ⁸₁₁

Number of men at first
= ³₁₁ x 110
= 30

Number of women at first
= ⁸₁₁ x 110
= 80

Men who joined : Women who joined
3 : 2

The number of women and men in the end is the same.

30 + 3 u = 80 + 2 u
3 u - 2 u = 80 - 30

1 u = 50

Number of women who joined the school in that year
= 2 u
= 2 x 50
= 100

Answer(s): 100