Some visitors paid a total of $268 for entrance tickets to a theme park. The entrance ticket for a child cost $4. The entrance ticket for an adult cost 2 times as much. If there were 11 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 11 |
1 u |
|
Value |
$8 |
$4 |
|
Total value |
8 u + 88 |
4 u |
$268 |
(a)
Cost of an adult ticket
= 2 x 4
= $8
Cost of all the adult tickets
= 8(1 u + 11)
= 8 u + 88
Total cost of the tickets
= 8 u + 88 + 4 u
= 12 u + 88
12 u + 88 = 268
12 u = 268 - 88
12 u = 180
1 u = 180 ÷ 12 = 15
Total number of children
= 1 u
= 15
(b)
Total number of adults
= 1 u + 11
= 15 + 11
= 26
Answer(s): (a) 15; (b) 26