Some visitors paid a total of $468 for entrance tickets to a theme park. The entrance ticket for a child cost $3. The entrance ticket for an adult cost 4 times as much. If there were 14 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 14 |
1 u |
|
Value |
$12 |
$3 |
|
Total value |
12 u + 168 |
3 u |
$468 |
(a)
Cost of an adult ticket
= 4 x 3
= $12
Cost of all the adult tickets
= 12(1 u + 14)
= 12 u + 168
Total cost of the tickets
= 12 u + 168 + 3 u
= 15 u + 168
15 u + 168 = 468
15 u = 468 - 168
15 u = 300
1 u = 300 ÷ 15 = 20
Total number of children
= 1 u
= 20
(b)
Total number of adults
= 1 u + 14
= 20 + 14
= 34
Answer(s): (a) 20; (b) 34