Some visitors paid a total of $1090 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 17 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 17 |
1 u |
|
Value |
$20 |
$10 |
|
Total value |
20 u + 340 |
10 u |
$1090 |
(a)
Cost of an adult ticket
= 2 x 10
= $20
Cost of all the adult tickets
= 20(1 u + 17)
= 20 u + 340
Total cost of the tickets
= 20 u + 340 + 10 u
= 30 u + 340
30 u + 340 = 1090
30 u = 1090 - 340
30 u = 750
1 u = 750 ÷ 30 = 25
Total number of children
= 1 u
= 25
(b)
Total number of adults
= 1 u + 17
= 25 + 17
= 42
Answer(s): (a) 25; (b) 42