Some visitors paid a total of $1071 for entrance tickets to a theme park. The entrance ticket for a child cost $7. 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 |
$28 |
$7 |
|
Total value |
28 u + 336 |
7 u |
$1071 |
(a)
Cost of an adult ticket
= 4 x 7
= $28
Cost of all the adult tickets
= 28(1 u + 12)
= 28 u + 336
Total cost of the tickets
= 28 u + 336 + 7 u
= 35 u + 336
35 u + 336 = 1071
35 u = 1071 - 336
35 u = 735
1 u = 735 ÷ 35 = 21
Total number of children
= 1 u
= 21
(b)
Total number of adults
= 1 u + 12
= 21 + 12
= 33
Answer(s): (a) 21; (b) 33