Some visitors paid a total of $450 for entrance tickets to a theme park. The entrance ticket for a child cost $5. The entrance ticket for an adult cost 3 times as much. If there were 14 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 14 |
1 u |
|
Value |
$15 |
$5 |
|
Total value |
15 u + 210 |
5 u |
$450 |
(a)
Cost of an adult ticket
= 3 x 5
= $15
Cost of all the adult tickets
= 15(1 u + 14)
= 15 u + 210
Total cost of the tickets
= 15 u + 210 + 5 u
= 20 u + 210
20 u + 210 = 450
20 u = 450 - 210
20 u = 240
1 u = 240 ÷ 20 = 12
Total number of children
= 1 u
= 12
(b)
Total number of adults
= 1 u + 14
= 12 + 14
= 26
Answer(s): (a) 12; (b) 26