Some visitors paid a total of $368 for entrance tickets to a theme park. The entrance ticket for a child cost $2. The entrance ticket for an adult cost 4 times as much. If there were 16 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 16 |
1 u |
|
Value |
$8 |
$2 |
|
Total value |
8 u + 128 |
2 u |
$368 |
(a)
Cost of an adult ticket
= 4 x 2
= $8
Cost of all the adult tickets
= 8(1 u + 16)
= 8 u + 128
Total cost of the tickets
= 8 u + 128 + 2 u
= 10 u + 128
10 u + 128 = 368
10 u = 368 - 128
10 u = 240
1 u = 240 ÷ 10 = 24
Total number of children
= 1 u
= 24
(b)
Total number of adults
= 1 u + 16
= 24 + 16
= 40
Answer(s): (a) 24; (b) 40