Some visitors paid a total of $340 for entrance tickets to a theme park. The entrance ticket for a child cost $4. The entrance ticket for an adult cost 3 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 |
$12 |
$4 |
|
Total value |
12 u + 132 |
4 u |
$340 |
(a)
Cost of an adult ticket
= 3 x 4
= $12
Cost of all the adult tickets
= 12(1 u + 11)
= 12 u + 132
Total cost of the tickets
= 12 u + 132 + 4 u
= 16 u + 132
16 u + 132 = 340
16 u = 340 - 132
16 u = 208
1 u = 208 ÷ 16 = 13
Total number of children
= 1 u
= 13
(b)
Total number of adults
= 1 u + 11
= 13 + 11
= 24
Answer(s): (a) 13; (b) 24