Some visitors paid a total of $975 for entrance tickets to a theme park. The entrance ticket for a child cost $5. The entrance ticket for an adult cost 4 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 |
$5 |
|
Total value |
20 u + 400 |
5 u |
$975 |
(a)
Cost of an adult ticket
= 4 x 5
= $20
Cost of all the adult tickets
= 20(1 u + 20)
= 20 u + 400
Total cost of the tickets
= 20 u + 400 + 5 u
= 25 u + 400
25 u + 400 = 975
25 u = 975 - 400
25 u = 575
1 u = 575 ÷ 25 = 23
Total number of children
= 1 u
= 23
(b)
Total number of adults
= 1 u + 20
= 23 + 20
= 43
Answer(s): (a) 23; (b) 43