Some visitors paid a total of $492 for entrance tickets to a theme park. The entrance ticket for a child cost $4. The entrance ticket for an adult cost 3 times as much. If there were 13 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 13 |
1 u |
|
Value |
$12 |
$4 |
|
Total value |
12 u + 156 |
4 u |
$492 |
(a)
Cost of an adult ticket
= 3 x 4
= $12
Cost of all the adult tickets
= 12(1 u + 13)
= 12 u + 156
Total cost of the tickets
= 12 u + 156 + 4 u
= 16 u + 156
16 u + 156 = 492
16 u = 492 - 156
16 u = 336
1 u = 336 ÷ 16 = 21
Total number of children
= 1 u
= 21
(b)
Total number of adults
= 1 u + 13
= 21 + 13
= 34
Answer(s): (a) 21; (b) 34