Some visitors paid a total of $1170 for entrance tickets to a theme park. The entrance ticket for a child cost $10. 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 |
$20 |
$10 |
|
Total value |
20 u + 360 |
10 u |
$1170 |
(a)
Cost of an adult ticket
= 2 x 10
= $20
Cost of all the adult tickets
= 20(1 u + 18)
= 20 u + 360
Total cost of the tickets
= 20 u + 360 + 10 u
= 30 u + 360
30 u + 360 = 1170
30 u = 1170 - 360
30 u = 810
1 u = 810 ÷ 30 = 27
Total number of children
= 1 u
= 27
(b)
Total number of adults
= 1 u + 18
= 27 + 18
= 45
Answer(s): (a) 27; (b) 45