At a concert hall, there were
35 as many adults as children at first. After 50 adults left, there were 108 more children than adults remaining at a concert hall. How many adults were at the concert hall at first?
|
Adults |
Children |
Before |
3 u |
5 u |
Change |
- 50 |
|
After |
3 u - 50 |
5 u |
In the end, the number of children was 108 more than the number of adults. If another 108 adults entered the concert hall, the number of children and adults would be the same.
5 u = 3 u - 50 + 108
5 u - 3 u = 108 - 50
2 u = 58
1 u = 58 ÷ 2 = 29
Number of adults at first
= 3 u
= 3 x 29
= 87
Answer: 87