Some visitors paid a total of $972 for entrance tickets to a theme park. The entrance ticket for a child cost $9. 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 |
$18 |
$9 |
|
Total value |
18 u + 324 |
9 u |
$972 |
(a)
Cost of an adult ticket
= 2 x 9
= $18
Cost of all the adult tickets
= 18(1 u + 18)
= 18 u + 324
Total cost of the tickets
= 18 u + 324 + 9 u
= 27 u + 324
27 u + 324 = 972
27 u = 972 - 324
27 u = 648
1 u = 648 ÷ 27 = 24
Total number of children
= 1 u
= 24
(b)
Total number of adults
= 1 u + 18
= 24 + 18
= 42
Answer(s): (a) 24; (b) 42