Some visitors paid a total of $729 for entrance tickets to a theme park. The entrance ticket for a child cost $9. The entrance ticket for an adult cost 3 times as much. If there were 11 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 11 |
1 u |
|
Value |
$27 |
$9 |
|
Total value |
27 u + 297 |
9 u |
$729 |
(a)
Cost of an adult ticket
= 3 x 9
= $27
Cost of all the adult tickets
= 27(1 u + 11)
= 27 u + 297
Total cost of the tickets
= 27 u + 297 + 9 u
= 36 u + 297
36 u + 297 = 729
36 u = 729 - 297
36 u = 432
1 u = 432 ÷ 36 = 12
Total number of children
= 1 u
= 12
(b)
Total number of adults
= 1 u + 11
= 12 + 11
= 23
Answer(s): (a) 12; (b) 23