Some visitors paid a total of $1200 for entrance tickets to a theme park. The entrance ticket for a child cost $6. The entrance ticket for an adult cost 4 times as much. If there were 15 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 15 |
1 u |
|
Value |
$24 |
$6 |
|
Total value |
24 u + 360 |
6 u |
$1200 |
(a)
Cost of an adult ticket
= 4 x 6
= $24
Cost of all the adult tickets
= 24(1 u + 15)
= 24 u + 360
Total cost of the tickets
= 24 u + 360 + 6 u
= 30 u + 360
30 u + 360 = 1200
30 u = 1200 - 360
30 u = 840
1 u = 840 ÷ 30 = 28
Total number of children
= 1 u
= 28
(b)
Total number of adults
= 1 u + 15
= 28 + 15
= 43
Answer(s): (a) 28; (b) 43