Some visitors paid a total of $828 for entrance tickets to a theme park. The entrance ticket for a child cost $9. The entrance ticket for an adult cost 2 times as much. If there were 13 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 13 |
1 u |
|
Value |
$18 |
$9 |
|
Total value |
18 u + 234 |
9 u |
$828 |
(a)
Cost of an adult ticket
= 2 x 9
= $18
Cost of all the adult tickets
= 18(1 u + 13)
= 18 u + 234
Total cost of the tickets
= 18 u + 234 + 9 u
= 27 u + 234
27 u + 234 = 828
27 u = 828 - 234
27 u = 594
1 u = 594 ÷ 27 = 22
Total number of children
= 1 u
= 22
(b)
Total number of adults
= 1 u + 13
= 22 + 13
= 35
Answer(s): (a) 22; (b) 35