There were 220 adults enrolled in the Diana Swimming School in 2021. ³₁₁ of the adults were men. Additional adults joined the swimming school in 2022. 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 2022, how many women joined the school in that year?

	Men	Women
Before	60	160
Change	+ 3 u	+ 2 u
After	60 + 3 u	160 + 2 u

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

Number of men at first
= ³₁₁ x 220
= 60

Number of women at first
= ⁸₁₁ x 220
= 160

Men who joined : Women who joined
3 : 2

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

60 + 3 u = 160 + 2 u
3 u - 2 u = 160 - 60

1 u = 100

Number of women who joined the school in that year
= 2 u
= 2 x 100
= 200

Answer(s): 200