Some visitors paid a total of $790 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 20 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 20 |
1 u |
|
Value |
$20 |
$10 |
|
Total value |
20 u + 400 |
10 u |
$790 |
(a)
Cost of an adult ticket
= 2 x 10
= $20
Cost of all the adult tickets
= 20(1 u + 20)
= 20 u + 400
Total cost of the tickets
= 20 u + 400 + 10 u
= 30 u + 400
30 u + 400 = 790
30 u = 790 - 400
30 u = 390
1 u = 390 ÷ 30 = 13
Total number of children
= 1 u
= 13
(b)
Total number of adults
= 1 u + 20
= 13 + 20
= 33
Answer(s): (a) 13; (b) 33