Some visitors paid a total of $504 for entrance tickets to a theme park. The entrance ticket for a child cost $3. The entrance ticket for an adult cost 3 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 |
$9 |
$3 |
|
Total value |
9 u + 180 |
3 u |
$504 |
(a)
Cost of an adult ticket
= 3 x 3
= $9
Cost of all the adult tickets
= 9(1 u + 20)
= 9 u + 180
Total cost of the tickets
= 9 u + 180 + 3 u
= 12 u + 180
12 u + 180 = 504
12 u = 504 - 180
12 u = 324
1 u = 324 ÷ 12 = 27
Total number of children
= 1 u
= 27
(b)
Total number of adults
= 1 u + 20
= 27 + 20
= 47
Answer(s): (a) 27; (b) 47