Some visitors paid a total of $608 for entrance tickets to a theme park. The entrance ticket for a child cost $4. The entrance ticket for an adult cost 4 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 |
$16 |
$4 |
|
Total value |
16 u + 208 |
4 u |
$608 |
(a)
Cost of an adult ticket
= 4 x 4
= $16
Cost of all the adult tickets
= 16(1 u + 13)
= 16 u + 208
Total cost of the tickets
= 16 u + 208 + 4 u
= 20 u + 208
20 u + 208 = 608
20 u = 608 - 208
20 u = 400
1 u = 400 ÷ 20 = 20
Total number of children
= 1 u
= 20
(b)
Total number of adults
= 1 u + 13
= 20 + 13
= 33
Answer(s): (a) 20; (b) 33