Some visitors paid a total of $252 for entrance tickets to a theme park. The entrance ticket for a child cost $3. The entrance ticket for an adult cost 2 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 |
$6 |
$3 |
|
Total value |
6 u + 72 |
3 u |
$252 |
(a)
Cost of an adult ticket
= 2 x 3
= $6
Cost of all the adult tickets
= 6(1 u + 12)
= 6 u + 72
Total cost of the tickets
= 6 u + 72 + 3 u
= 9 u + 72
9 u + 72 = 252
9 u = 252 - 72
9 u = 180
1 u = 180 ÷ 9 = 20
Total number of children
= 1 u
= 20
(b)
Total number of adults
= 1 u + 12
= 20 + 12
= 32
Answer(s): (a) 20; (b) 32