Some visitors paid a total of $560 for entrance tickets to a theme park. The entrance ticket for a child cost $8. 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 |
$16 |
$8 |
|
Total value |
16 u + 272 |
8 u |
$560 |
(a)
Cost of an adult ticket
= 2 x 8
= $16
Cost of all the adult tickets
= 16(1 u + 17)
= 16 u + 272
Total cost of the tickets
= 16 u + 272 + 8 u
= 24 u + 272
24 u + 272 = 560
24 u = 560 - 272
24 u = 288
1 u = 288 ÷ 24 = 12
Total number of children
= 1 u
= 12
(b)
Total number of adults
= 1 u + 17
= 12 + 17
= 29
Answer(s): (a) 12; (b) 29