There were 132 children enrolled in the Xandra Gym School in 2016. ³₁₁ of the children were girls. Additional children joined the gym school in 2017. For every 3 girls who joined the gym school, 2 boys joined the gym school. If there was an equal number of boys and girls in 2017, how many boys joined the school in that year?

	Girls	Boys
Before	36	96
Change	+ 3 u	+ 2 u
After	36 + 3 u	96 + 2 u

Fraction of children who are boys
= 1 - ³₁₁
= ⁸₁₁

Number of girls at first
= ³₁₁ x 132
= 36

Number of boys at first
= ⁸₁₁ x 132
= 96

Girls who joined : Boys who joined
3 : 2

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

36 + 3 u = 96 + 2 u
3 u - 2 u = 96 - 36

1 u = 60

Number of boys who joined the school in that year
= 2 u
= 2 x 60
= 120

Answer(s): 120