Some visitors paid a total of $1730 for entrance tickets to a theme park. The entrance ticket for a child cost $10. 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 |
$40 |
$10 |
|
Total value |
40 u + 480 |
10 u |
$1730 |
(a)
Cost of an adult ticket
= 4 x 10
= $40
Cost of all the adult tickets
= 40(1 u + 12)
= 40 u + 480
Total cost of the tickets
= 40 u + 480 + 10 u
= 50 u + 480
50 u + 480 = 1730
50 u = 1730 - 480
50 u = 1250
1 u = 1250 ÷ 50 = 25
Total number of children
= 1 u
= 25
(b)
Total number of adults
= 1 u + 12
= 25 + 12
= 37
Answer(s): (a) 25; (b) 37