There were 266 children enrolled in the Lynn Gym School in 2019. ³₇ of the children were boys. Additional children joined the gym school in 2020. For every 3 boys who joined the gym school, 2 girls joined the gym school. If there was an equal number of girls and boys in 2020, how many girls joined the school in that year?

	Boys	Girls
Before	114	152
Change	+ 3 u	+ 2 u
After	114 + 3 u	152 + 2 u

Fraction of children who are girls
= 1 - ³₇
= ⁴₇

Number of boys at first
= ³₇ x 266
= 114

Number of girls at first
= ⁴₇ x 266
= 152

Boys who joined : Girls who joined
3 : 2

The number of girls and boys in the end is the same.

114 + 3 u = 152 + 2 u
3 u - 2 u = 152 - 114

1 u = 38

Number of girls who joined the school in that year
= 2 u
= 2 x 38
= 76

Answer(s): 76