Some visitors paid a total of $870 for entrance tickets to a theme park. The entrance ticket for a child cost $6. 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 |
$24 |
$6 |
|
Total value |
24 u + 240 |
6 u |
$870 |
(a)
Cost of an adult ticket
= 4 x 6
= $24
Cost of all the adult tickets
= 24(1 u + 10)
= 24 u + 240
Total cost of the tickets
= 24 u + 240 + 6 u
= 30 u + 240
30 u + 240 = 870
30 u = 870 - 240
30 u = 630
1 u = 630 ÷ 30 = 21
Total number of children
= 1 u
= 21
(b)
Total number of adults
= 1 u + 10
= 21 + 10
= 31
Answer(s): (a) 21; (b) 31