There were 196 children enrolled in the Usha Swimming School in 2015. ³₇ of the children were girls. Additional children joined the swimming school in 2016. For every 3 girls who joined the swimming school, 2 boys joined the swimming school. If there was an equal number of boys and girls in 2016, how many boys joined the school in that year?

	Girls	Boys
Before	84	112
Change	+ 3 u	+ 2 u
After	84 + 3 u	112 + 2 u

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

Number of girls at first
= ³₇ x 196
= 84

Number of boys at first
= ⁴₇ x 196
= 112

Girls who joined : Boys who joined
3 : 2

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

84 + 3 u = 112 + 2 u
3 u - 2 u = 112 - 84

1 u = 28

Number of boys who joined the school in that year
= 2 u
= 2 x 28
= 56

Answer(s): 56