At a museum, there were
35 as many adults as children at first. After 52 adults left, there were 164 more children than adults remaining at a museum. How many adults were at the museum at first?
|
Adults |
Children |
Before |
3 u |
5 u |
Change |
- 52 |
|
After |
3 u - 52 |
5 u |
In the end, the number of children was 164 more than the number of adults. If another 164 adults entered the museum, the number of children and adults would be the same.
5 u = 3 u - 52 + 164
5 u - 3 u = 164 - 52
2 u = 112
1 u = 112 ÷ 2 = 56
Number of adults at first
= 3 u
= 3 x 56
= 168
Answer: 168