There were 238 children enrolled in the Victoria Cooking School in 2018. ³₇ of the children were boys. Additional children joined the cooking school in 2019. For every 3 boys who joined the cooking school, 2 girls joined the cooking school. If there was an equal number of girls and boys in 2019, how many girls joined the school in that year?

	Boys	Girls
Before	102	136
Change	+ 3 u	+ 2 u
After	102 + 3 u	136 + 2 u

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

Number of boys at first
= ³₇ x 238
= 102

Number of girls at first
= ⁴₇ x 238
= 136

Boys who joined : Girls who joined
3 : 2

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

102 + 3 u = 136 + 2 u
3 u - 2 u = 136 - 102

1 u = 34

Number of girls who joined the school in that year
= 2 u
= 2 x 34
= 68

Answer(s): 68