Some visitors paid a total of $291 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 17 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 17 |
1 u |
|
Value |
$6 |
$3 |
|
Total value |
6 u + 102 |
3 u |
$291 |
(a)
Cost of an adult ticket
= 2 x 3
= $6
Cost of all the adult tickets
= 6(1 u + 17)
= 6 u + 102
Total cost of the tickets
= 6 u + 102 + 3 u
= 9 u + 102
9 u + 102 = 291
9 u = 291 - 102
9 u = 189
1 u = 189 ÷ 9 = 21
Total number of children
= 1 u
= 21
(b)
Total number of adults
= 1 u + 17
= 21 + 17
= 38
Answer(s): (a) 21; (b) 38