Some visitors paid a total of $1602 for entrance tickets to a theme park. The entrance ticket for a child cost $9. The entrance ticket for an adult cost 4 times as much. If there were 12 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 12 |
1 u |
|
Value |
$36 |
$9 |
|
Total value |
36 u + 432 |
9 u |
$1602 |
(a)
Cost of an adult ticket
= 4 x 9
= $36
Cost of all the adult tickets
= 36(1 u + 12)
= 36 u + 432
Total cost of the tickets
= 36 u + 432 + 9 u
= 45 u + 432
45 u + 432 = 1602
45 u = 1602 - 432
45 u = 1170
1 u = 1170 ÷ 45 = 26
Total number of children
= 1 u
= 26
(b)
Total number of adults
= 1 u + 12
= 26 + 12
= 38
Answer(s): (a) 26; (b) 38