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 3 times as much. If there were 19 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 19 |
1 u |
|
Value |
$18 |
$6 |
|
Total value |
18 u + 342 |
6 u |
$870 |
(a)
Cost of an adult ticket
= 3 x 6
= $18
Cost of all the adult tickets
= 18(1 u + 19)
= 18 u + 342
Total cost of the tickets
= 18 u + 342 + 6 u
= 24 u + 342
24 u + 342 = 870
24 u = 870 - 342
24 u = 528
1 u = 528 ÷ 24 = 22
Total number of children
= 1 u
= 22
(b)
Total number of adults
= 1 u + 19
= 22 + 19
= 41
Answer(s): (a) 22; (b) 41