Some visitors paid a total of $556 for entrance tickets to a theme park. The entrance ticket for a child cost $4. The entrance ticket for an adult cost 4 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 |
$16 |
$4 |
|
Total value |
16 u + 256 |
4 u |
$556 |
(a)
Cost of an adult ticket
= 4 x 4
= $16
Cost of all the adult tickets
= 16(1 u + 16)
= 16 u + 256
Total cost of the tickets
= 16 u + 256 + 4 u
= 20 u + 256
20 u + 256 = 556
20 u = 556 - 256
20 u = 300
1 u = 300 ÷ 20 = 15
Total number of children
= 1 u
= 15
(b)
Total number of adults
= 1 u + 16
= 15 + 16
= 31
Answer(s): (a) 15; (b) 31