At a stadium, there were
37 as many adults as children at first. After 30 adults left, there were 170 more children than adults remaining at a stadium. How many adults were at the stadium at first?
|
Adults |
Children |
Before |
3 u |
7 u |
Change |
- 30 |
|
After |
3 u - 30 |
7 u |
In the end, the number of children was 170 more than the number of adults. If another 170 adults entered the stadium, the number of children and adults would be the same.
7 u = 3 u - 30 + 170
7 u - 3 u = 170 - 30
4 u = 140
1 u = 140 ÷ 4 = 35
Number of adults at first
= 3 u
= 3 x 35
= 105
Answer: 105