Some visitors paid a total of $576 for entrance tickets to a theme park. The entrance ticket for a child cost $6. 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 |
$12 |
$6 |
|
Total value |
12 u + 216 |
6 u |
$576 |
(a)
Cost of an adult ticket
= 2 x 6
= $12
Cost of all the adult tickets
= 12(1 u + 18)
= 12 u + 216
Total cost of the tickets
= 12 u + 216 + 6 u
= 18 u + 216
18 u + 216 = 576
18 u = 576 - 216
18 u = 360
1 u = 360 ÷ 18 = 20
Total number of children
= 1 u
= 20
(b)
Total number of adults
= 1 u + 18
= 20 + 18
= 38
Answer(s): (a) 20; (b) 38