Some visitors paid a total of $405 for entrance tickets to a theme park. The entrance ticket for a child cost $5. The entrance ticket for an adult cost 2 times as much. If there were 18 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 18 |
1 u |
|
Value |
$10 |
$5 |
|
Total value |
10 u + 180 |
5 u |
$405 |
(a)
Cost of an adult ticket
= 2 x 5
= $10
Cost of all the adult tickets
= 10(1 u + 18)
= 10 u + 180
Total cost of the tickets
= 10 u + 180 + 5 u
= 15 u + 180
15 u + 180 = 405
15 u = 405 - 180
15 u = 225
1 u = 225 ÷ 15 = 15
Total number of children
= 1 u
= 15
(b)
Total number of adults
= 1 u + 18
= 15 + 18
= 33
Answer(s): (a) 15; (b) 33