There was an equal number of girls and boys at the auditorium. After
25 of the girls and 44 boys left the auditorium, there were 20 more girls than boys at the auditorium. How many students were there at the auditorium at first?
| |
Girls |
Boys |
| Before |
5 u |
5 u |
| Change |
- 2 u |
- 44 |
| After |
3 u |
5 u - 44 |
Number of girls in the end
= 5 u - 2 u
= 3 u
If another 20 boys entered the auditorium, the number of girls and boys would be the same.
5 u - 44 + 20 = 3 u
5 u - 24 = 3 u
5 u - 3 u = 24
2 u = 24
1 u = 24 ÷ 2 = 12
Number of students in the auditorium at first
= 10 u
= 10 x 12
= 120
Answer(s): 120
