Some visitors paid a total of $297 for entrance tickets to a theme park. The entrance ticket for a child cost $3. The entrance ticket for an adult cost 4 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 |
$3 |
|
Total value |
12 u + 132 |
3 u |
$297 |
(a)
Cost of an adult ticket
= 4 x 3
= $12
Cost of all the adult tickets
= 12(1 u + 11)
= 12 u + 132
Total cost of the tickets
= 12 u + 132 + 3 u
= 15 u + 132
15 u + 132 = 297
15 u = 297 - 132
15 u = 165
1 u = 165 ÷ 15 = 11
Total number of children
= 1 u
= 11
(b)
Total number of adults
= 1 u + 11
= 11 + 11
= 22
Answer(s): (a) 11; (b) 22