There was an equal number of boys and girls at the auditorium. After
25 of the boys and 47 girls left the auditorium, there were 23 more boys than girls at the auditorium. How many children were there at the auditorium at first?
| |
Boys |
Girls |
| Before |
5 u |
5 u |
| Change |
- 2 u |
- 47 |
| After |
3 u |
5 u - 47 |
Number of boys in the end
= 5 u - 2 u
= 3 u
If another 23 girls entered the auditorium, the number of boys and girls would be the same.
5 u - 47 + 23 = 3 u
5 u - 24 = 3 u
5 u - 3 u = 24
2 u = 24
1 u = 24 ÷ 2 = 12
Number of children in the auditorium at first
= 10 u
= 10 x 12
= 120
Answer(s): 120
