Some visitors paid a total of $912 for entrance tickets to a theme park. The entrance ticket for a child cost $6. The entrance ticket for an adult cost 3 times as much. If there were 12 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 12 |
1 u |
|
Value |
$18 |
$6 |
|
Total value |
18 u + 216 |
6 u |
$912 |
(a)
Cost of an adult ticket
= 3 x 6
= $18
Cost of all the adult tickets
= 18(1 u + 12)
= 18 u + 216
Total cost of the tickets
= 18 u + 216 + 6 u
= 24 u + 216
24 u + 216 = 912
24 u = 912 - 216
24 u = 696
1 u = 696 ÷ 24 = 29
Total number of children
= 1 u
= 29
(b)
Total number of adults
= 1 u + 12
= 29 + 12
= 41
Answer(s): (a) 29; (b) 41