There were 275 adults enrolled in the Sabrina Dancing School in 2022. ⁴₁₁ of the adults were men. Additional adults joined the dancing school in 2023. For every 4 men who joined the dancing school, 3 women joined the dancing school. If there was an equal number of women and men in 2023, how many women joined the school in that year?

	Men	Women
Before	100	175
Change	+ 4 u	+ 3 u
After	100 + 4 u	175 + 3 u

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

Number of men at first
= ⁴₁₁ x 275
= 100

Number of women at first
= ⁷₁₁ x 275
= 175

Men who joined : Women who joined
4 : 3

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

100 + 4 u = 175 + 3 u
4 u - 3 u = 175 - 100

1 u = 75

Number of women who joined the school in that year
= 3 u
= 3 x 75
= 225

Answer(s): 225