Some visitors paid a total of $290 for entrance tickets to a theme park. The entrance ticket for a child cost $5. The entrance ticket for an adult cost 2 times as much. If there were 11 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 11 |
1 u |
|
Value |
$10 |
$5 |
|
Total value |
10 u + 110 |
5 u |
$290 |
(a)
Cost of an adult ticket
= 2 x 5
= $10
Cost of all the adult tickets
= 10(1 u + 11)
= 10 u + 110
Total cost of the tickets
= 10 u + 110 + 5 u
= 15 u + 110
15 u + 110 = 290
15 u = 290 - 110
15 u = 180
1 u = 180 ÷ 15 = 12
Total number of children
= 1 u
= 12
(b)
Total number of adults
= 1 u + 11
= 12 + 11
= 23
Answer(s): (a) 12; (b) 23