Some visitors paid a total of $270 for entrance tickets to a theme park. The entrance ticket for a child cost $3. 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 |
$9 |
$3 |
|
Total value |
9 u + 126 |
3 u |
$270 |
(a)
Cost of an adult ticket
= 3 x 3
= $9
Cost of all the adult tickets
= 9(1 u + 14)
= 9 u + 126
Total cost of the tickets
= 9 u + 126 + 3 u
= 12 u + 126
12 u + 126 = 270
12 u = 270 - 126
12 u = 144
1 u = 144 ÷ 12 = 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