There was an equal number of girls and boys at the gymnasium. After
59 of the girls and 52 boys left the gymnasium, there were 22 more girls than boys at the gymnasium. How many children were there at the gymnasium at first?
| |
Girls |
Boys |
| Before |
9 u |
9 u |
| Change |
- 5 u |
- 52 |
| After |
4 u |
9 u - 52 |
Number of girls in the end
= 9 u - 5 u
= 4 u
If another 22 boys entered the gymnasium, the number of girls and boys would be the same.
9 u - 52 + 22 = 4 u
9 u - 30 = 4 u
9 u - 4 u = 30
5 u = 30
1 u = 30 ÷ 5 = 6
Number of children in the gymnasium at first
= 18 u
= 18 x 6
= 108
Answer(s): 108
