There were 165 adults enrolled in the Irene Cooking School in 2017. ⁴₁₁ of the adults were men. Additional adults joined the cooking school in 2018. For every 4 men who joined the cooking school, 3 women joined the cooking school. If there was an equal number of women and men in 2018, how many women joined the school in that year?

	Men	Women
Before	60	105
Change	+ 4 u	+ 3 u
After	60 + 4 u	105 + 3 u

Fraction of adults who are women
= 1 - ⁴₁₁
= ⁷₁₁

Number of men at first
= ⁴₁₁ x 165
= 60

Number of women at first
= ⁷₁₁ x 165
= 105

Men who joined : Women who joined
4 : 3

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

60 + 4 u = 105 + 3 u
4 u - 3 u = 105 - 60

1 u = 45

Number of women who joined the school in that year
= 3 u
= 3 x 45
= 135

Answer(s): 135