Some visitors paid a total of $960 for entrance tickets to a theme park. The entrance ticket for a child cost $10. The entrance ticket for an adult cost 3 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 |
$30 |
$10 |
|
Total value |
30 u + 360 |
10 u |
$960 |
(a)
Cost of an adult ticket
= 3 x 10
= $30
Cost of all the adult tickets
= 30(1 u + 12)
= 30 u + 360
Total cost of the tickets
= 30 u + 360 + 10 u
= 40 u + 360
40 u + 360 = 960
40 u = 960 - 360
40 u = 600
1 u = 600 ÷ 40 = 15
Total number of children
= 1 u
= 15
(b)
Total number of adults
= 1 u + 12
= 15 + 12
= 27
Answer(s): (a) 15; (b) 27