At a concert hall, there were
38 as many adults as children at first. After 49 adults left, there were 194 more children than adults remaining at a concert hall. How many adults were at the concert hall at first?
|
Adults |
Children |
Before |
3 u |
8 u |
Change |
- 49 |
|
After |
3 u - 49 |
8 u |
In the end, the number of children was 194 more than the number of adults. If another 194 adults entered the concert hall, the number of children and adults would be the same.
8 u = 3 u - 49 + 194
8 u - 3 u = 194 - 49
5 u = 145
1 u = 145 ÷ 5 = 29
Number of adults at first
= 3 u
= 3 x 29
= 87
Answer: 87