There were 245 adults enrolled in the Kathy Cooking School in 2020. ³₇ of the adults were men. Additional adults joined the cooking school in 2021. For every 3 men who joined the cooking school, 2 women joined the cooking school. If there was an equal number of women and men in 2021, how many women joined the school in that year?

	Men	Women
Before	105	140
Change	+ 3 u	+ 2 u
After	105 + 3 u	140 + 2 u

Fraction of adults who are women
= 1 - ³₇
= ⁴₇

Number of men at first
= ³₇ x 245
= 105

Number of women at first
= ⁴₇ x 245
= 140

Men who joined : Women who joined
3 : 2

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

105 + 3 u = 140 + 2 u
3 u - 2 u = 140 - 105

1 u = 35

Number of women who joined the school in that year
= 2 u
= 2 x 35
= 70

Answer(s): 70