Some visitors paid a total of $516 for entrance tickets to a theme park. The entrance ticket for a child cost $6. The entrance ticket for an adult cost 3 times as much. If there were 10 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 10 |
1 u |
|
Value |
$18 |
$6 |
|
Total value |
18 u + 180 |
6 u |
$516 |
(a)
Cost of an adult ticket
= 3 x 6
= $18
Cost of all the adult tickets
= 18(1 u + 10)
= 18 u + 180
Total cost of the tickets
= 18 u + 180 + 6 u
= 24 u + 180
24 u + 180 = 516
24 u = 516 - 180
24 u = 336
1 u = 336 ÷ 24 = 14
Total number of children
= 1 u
= 14
(b)
Total number of adults
= 1 u + 10
= 14 + 10
= 24
Answer(s): (a) 14; (b) 24