Some visitors paid a total of $174 for entrance tickets to a theme park. The entrance ticket for a child cost $2. The entrance ticket for an adult cost 2 times as much. If there were 18 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 18 |
1 u |
|
Value |
$4 |
$2 |
|
Total value |
4 u + 72 |
2 u |
$174 |
(a)
Cost of an adult ticket
= 2 x 2
= $4
Cost of all the adult tickets
= 4(1 u + 18)
= 4 u + 72
Total cost of the tickets
= 4 u + 72 + 2 u
= 6 u + 72
6 u + 72 = 174
6 u = 174 - 72
6 u = 102
1 u = 102 ÷ 6 = 17
Total number of children
= 1 u
= 17
(b)
Total number of adults
= 1 u + 18
= 17 + 18
= 35
Answer(s): (a) 17; (b) 35