Some visitors paid a total of $784 for entrance tickets to a theme park. The entrance ticket for a child cost $7. The entrance ticket for an adult cost 2 times as much. If there were 11 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 11 |
1 u |
|
Value |
$14 |
$7 |
|
Total value |
14 u + 154 |
7 u |
$784 |
(a)
Cost of an adult ticket
= 2 x 7
= $14
Cost of all the adult tickets
= 14(1 u + 11)
= 14 u + 154
Total cost of the tickets
= 14 u + 154 + 7 u
= 21 u + 154
21 u + 154 = 784
21 u = 784 - 154
21 u = 630
1 u = 630 ÷ 21 = 30
Total number of children
= 1 u
= 30
(b)
Total number of adults
= 1 u + 11
= 30 + 11
= 41
Answer(s): (a) 30; (b) 41