There was an equal number of girls and boys at the auditorium. After
57 of the girls and 56 boys left the auditorium, there were 16 more girls than boys at the auditorium. How many students were there at the auditorium at first?
| |
Girls |
Boys |
| Before |
7 u |
7 u |
| Change |
- 5 u |
- 56 |
| After |
2 u |
7 u - 56 |
Number of girls in the end
= 7 u - 5 u
= 2 u
If another 16 boys entered the auditorium, the number of girls and boys would be the same.
7 u - 56 + 16 = 2 u
7 u - 40 = 2 u
7 u - 2 u = 40
5 u = 40
1 u = 40 ÷ 5 = 8
Number of students in the auditorium at first
= 14 u
= 14 x 8
= 112
Answer(s): 112
