Some visitors paid a total of $1060 for entrance tickets to a theme park. The entrance ticket for a child cost $10. The entrance ticket for an adult cost 2 times as much. If there were 17 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 17 |
1 u |
|
Value |
$20 |
$10 |
|
Total value |
20 u + 340 |
10 u |
$1060 |
(a)
Cost of an adult ticket
= 2 x 10
= $20
Cost of all the adult tickets
= 20(1 u + 17)
= 20 u + 340
Total cost of the tickets
= 20 u + 340 + 10 u
= 30 u + 340
30 u + 340 = 1060
30 u = 1060 - 340
30 u = 720
1 u = 720 ÷ 30 = 24
Total number of children
= 1 u
= 24
(b)
Total number of adults
= 1 u + 17
= 24 + 17
= 41
Answer(s): (a) 24; (b) 41