Some visitors paid a total of $1098 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 18 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 18 |
1 u |
|
Value |
$27 |
$9 |
|
Total value |
27 u + 486 |
9 u |
$1098 |
(a)
Cost of an adult ticket
= 3 x 9
= $27
Cost of all the adult tickets
= 27(1 u + 18)
= 27 u + 486
Total cost of the tickets
= 27 u + 486 + 9 u
= 36 u + 486
36 u + 486 = 1098
36 u = 1098 - 486
36 u = 612
1 u = 612 ÷ 36 = 17
Total number of children
= 1 u
= 17
(b)
Total number of adults
= 1 u + 18
= 17 + 18
= 35
Answer(s): (a) 17; (b) 35