There were 245 children enrolled in the Diana Gym School in 2019.
37 of the children were girls. Additional children joined the gym school in 2020. 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 2020, how many boys joined the school in that year?
|
Girls |
Boys |
Before |
105 |
140 |
Change |
+ 3 u |
+ 2 u |
After |
105 + 3 u |
140 + 2 u |
Fraction of children who are boys
= 1 -
37 =
47 Number of girls at first
=
37 x 245
= 105
Number of boys at first
=
47 x 245
= 140
Girls who joined : Boys who joined
3 : 2
The number of boys and girls in the end is the same.
105 + 3 u = 140 + 2 u
3 u - 2 u = 140 - 105
1 u = 35
Number of boys who joined the school in that year
= 2 u
= 2 x 35
= 70
Answer(s): 70