Some visitors paid a total of $1640 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 16 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 16 |
1 u |
|
Value |
$40 |
$10 |
|
Total value |
40 u + 640 |
10 u |
$1640 |
(a)
Cost of an adult ticket
= 4 x 10
= $40
Cost of all the adult tickets
= 40(1 u + 16)
= 40 u + 640
Total cost of the tickets
= 40 u + 640 + 10 u
= 50 u + 640
50 u + 640 = 1640
50 u = 1640 - 640
50 u = 1000
1 u = 1000 ÷ 50 = 20
Total number of children
= 1 u
= 20
(b)
Total number of adults
= 1 u + 16
= 20 + 16
= 36
Answer(s): (a) 20; (b) 36