Some visitors paid a total of $448 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 14 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 14 |
1 u |
|
Value |
$8 |
$4 |
|
Total value |
8 u + 112 |
4 u |
$448 |
(a)
Cost of an adult ticket
= 2 x 4
= $8
Cost of all the adult tickets
= 8(1 u + 14)
= 8 u + 112
Total cost of the tickets
= 8 u + 112 + 4 u
= 12 u + 112
12 u + 112 = 448
12 u = 448 - 112
12 u = 336
1 u = 336 ÷ 12 = 28
Total number of children
= 1 u
= 28
(b)
Total number of adults
= 1 u + 14
= 28 + 14
= 42
Answer(s): (a) 28; (b) 42