Some visitors paid a total of $452 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 12 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 12 |
1 u |
|
Value |
$16 |
$4 |
|
Total value |
16 u + 192 |
4 u |
$452 |
(a)
Cost of an adult ticket
= 4 x 4
= $16
Cost of all the adult tickets
= 16(1 u + 12)
= 16 u + 192
Total cost of the tickets
= 16 u + 192 + 4 u
= 20 u + 192
20 u + 192 = 452
20 u = 452 - 192
20 u = 260
1 u = 260 ÷ 20 = 13
Total number of children
= 1 u
= 13
(b)
Total number of adults
= 1 u + 12
= 13 + 12
= 25
Answer(s): (a) 13; (b) 25