Some visitors paid a total of $318 for entrance tickets to a theme park. The entrance ticket for a child cost $3. 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 |
$6 |
$3 |
|
Total value |
6 u + 120 |
3 u |
$318 |
(a)
Cost of an adult ticket
= 2 x 3
= $6
Cost of all the adult tickets
= 6(1 u + 20)
= 6 u + 120
Total cost of the tickets
= 6 u + 120 + 3 u
= 9 u + 120
9 u + 120 = 318
9 u = 318 - 120
9 u = 198
1 u = 198 ÷ 9 = 22
Total number of children
= 1 u
= 22
(b)
Total number of adults
= 1 u + 20
= 22 + 20
= 42
Answer(s): (a) 22; (b) 42