Some visitors paid a total of $504 for entrance tickets to a theme park. The entrance ticket for a child cost $7. 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 |
$14 |
$7 |
|
Total value |
14 u + 252 |
7 u |
$504 |
(a)
Cost of an adult ticket
= 2 x 7
= $14
Cost of all the adult tickets
= 14(1 u + 18)
= 14 u + 252
Total cost of the tickets
= 14 u + 252 + 7 u
= 21 u + 252
21 u + 252 = 504
21 u = 504 - 252
21 u = 252
1 u = 252 ÷ 21 = 12
Total number of children
= 1 u
= 12
(b)
Total number of adults
= 1 u + 18
= 12 + 18
= 30
Answer(s): (a) 12; (b) 30