Some visitors paid a total of $920 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 15 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 15 |
1 u |
|
Value |
$32 |
$8 |
|
Total value |
32 u + 480 |
8 u |
$920 |
(a)
Cost of an adult ticket
= 4 x 8
= $32
Cost of all the adult tickets
= 32(1 u + 15)
= 32 u + 480
Total cost of the tickets
= 32 u + 480 + 8 u
= 40 u + 480
40 u + 480 = 920
40 u = 920 - 480
40 u = 440
1 u = 440 ÷ 40 = 11
Total number of children
= 1 u
= 11
(b)
Total number of adults
= 1 u + 15
= 11 + 15
= 26
Answer(s): (a) 11; (b) 26