Some visitors paid a total of $1350 for entrance tickets to a theme park. The entrance ticket for a child cost $10. The entrance ticket for an adult cost 4 times as much. If there were 20 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 20 |
1 u |
|
Value |
$40 |
$10 |
|
Total value |
40 u + 800 |
10 u |
$1350 |
(a)
Cost of an adult ticket
= 4 x 10
= $40
Cost of all the adult tickets
= 40(1 u + 20)
= 40 u + 800
Total cost of the tickets
= 40 u + 800 + 10 u
= 50 u + 800
50 u + 800 = 1350
50 u = 1350 - 800
50 u = 550
1 u = 550 ÷ 50 = 11
Total number of children
= 1 u
= 11
(b)
Total number of adults
= 1 u + 20
= 11 + 20
= 31
Answer(s): (a) 11; (b) 31