Some visitors paid a total of $1600 for entrance tickets to a theme park. The entrance ticket for a child cost $10. The entrance ticket for an adult cost 3 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 |
$30 |
$10 |
|
Total value |
30 u + 480 |
10 u |
$1600 |
(a)
Cost of an adult ticket
= 3 x 10
= $30
Cost of all the adult tickets
= 30(1 u + 16)
= 30 u + 480
Total cost of the tickets
= 30 u + 480 + 10 u
= 40 u + 480
40 u + 480 = 1600
40 u = 1600 - 480
40 u = 1120
1 u = 1120 ÷ 40 = 28
Total number of children
= 1 u
= 28
(b)
Total number of adults
= 1 u + 16
= 28 + 16
= 44
Answer(s): (a) 28; (b) 44