Some visitors paid a total of $1040 for entrance tickets to a theme park. The entrance ticket for a child cost $8. The entrance ticket for an adult cost 4 times as much. If there were 10 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 10 |
1 u |
|
Value |
$32 |
$8 |
|
Total value |
32 u + 320 |
8 u |
$1040 |
(a)
Cost of an adult ticket
= 4 x 8
= $32
Cost of all the adult tickets
= 32(1 u + 10)
= 32 u + 320
Total cost of the tickets
= 32 u + 320 + 8 u
= 40 u + 320
40 u + 320 = 1040
40 u = 1040 - 320
40 u = 720
1 u = 720 ÷ 40 = 18
Total number of children
= 1 u
= 18
(b)
Total number of adults
= 1 u + 10
= 18 + 10
= 28
Answer(s): (a) 18; (b) 28