Some visitors paid a total of $1125 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 19 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 19 |
1 u |
|
Value |
$18 |
$9 |
|
Total value |
18 u + 342 |
9 u |
$1125 |
(a)
Cost of an adult ticket
= 2 x 9
= $18
Cost of all the adult tickets
= 18(1 u + 19)
= 18 u + 342
Total cost of the tickets
= 18 u + 342 + 9 u
= 27 u + 342
27 u + 342 = 1125
27 u = 1125 - 342
27 u = 783
1 u = 783 ÷ 27 = 29
Total number of children
= 1 u
= 29
(b)
Total number of adults
= 1 u + 19
= 29 + 19
= 48
Answer(s): (a) 29; (b) 48