Some visitors paid a total of $1024 for entrance tickets to a theme park. The entrance ticket for a child cost $8. The entrance ticket for an adult cost 3 times as much. If there were 16 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 16 |
1 u |
|
Value |
$24 |
$8 |
|
Total value |
24 u + 384 |
8 u |
$1024 |
(a)
Cost of an adult ticket
= 3 x 8
= $24
Cost of all the adult tickets
= 24(1 u + 16)
= 24 u + 384
Total cost of the tickets
= 24 u + 384 + 8 u
= 32 u + 384
32 u + 384 = 1024
32 u = 1024 - 384
32 u = 640
1 u = 640 ÷ 32 = 20
Total number of children
= 1 u
= 20
(b)
Total number of adults
= 1 u + 16
= 20 + 16
= 36
Answer(s): (a) 20; (b) 36