There was an equal number of girls and boys at the auditorium. After
35 of the girls and 34 boys left the auditorium, there were 10 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 |
- 3 u |
- 34 |
After |
2 u |
5 u - 34 |
Number of girls in the end
= 5 u - 3 u
= 2 u
If another 10 boys entered the auditorium, the number of girls and boys would be the same.
5 u - 34 + 10 = 2 u
5 u - 24 = 2 u
5 u - 2 u = 24
3 u = 24
1 u = 24 ÷ 3 = 8
Number of students in the auditorium at first
= 10 u
= 10 x 8
= 80
Answer(s): 80