Some visitors paid a total of $700 for entrance tickets to a theme park. The entrance ticket for a child cost $5. The entrance ticket for an adult cost 4 times as much. If there were 15 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 15 |
1 u |
|
Value |
$20 |
$5 |
|
Total value |
20 u + 300 |
5 u |
$700 |
(a)
Cost of an adult ticket
= 4 x 5
= $20
Cost of all the adult tickets
= 20(1 u + 15)
= 20 u + 300
Total cost of the tickets
= 20 u + 300 + 5 u
= 25 u + 300
25 u + 300 = 700
25 u = 700 - 300
25 u = 400
1 u = 400 ÷ 25 = 16
Total number of children
= 1 u
= 16
(b)
Total number of adults
= 1 u + 15
= 16 + 15
= 31
Answer(s): (a) 16; (b) 31