At a theme park, there were
35 as many adults as children at first. After 65 adults left, there were 167 more children than adults remaining at a theme park. How many adults were at the theme park at first?
|
Adults |
Children |
Before |
3 u |
5 u |
Change |
- 65 |
|
After |
3 u - 65 |
5 u |
In the end, the number of children was 167 more than the number of adults. If another 167 adults entered the theme park, the number of children and adults would be the same.
5 u = 3 u - 65 + 167
5 u - 3 u = 167 - 65
2 u = 102
1 u = 102 ÷ 2 = 51
Number of adults at first
= 3 u
= 3 x 51
= 153
Answer: 153