Some visitors paid a total of $392 for entrance tickets to a theme park. The entrance ticket for a child cost $4. The entrance ticket for an adult cost 3 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 |
$12 |
$4 |
|
Total value |
12 u + 120 |
4 u |
$392 |
(a)
Cost of an adult ticket
= 3 x 4
= $12
Cost of all the adult tickets
= 12(1 u + 10)
= 12 u + 120
Total cost of the tickets
= 12 u + 120 + 4 u
= 16 u + 120
16 u + 120 = 392
16 u = 392 - 120
16 u = 272
1 u = 272 ÷ 16 = 17
Total number of children
= 1 u
= 17
(b)
Total number of adults
= 1 u + 10
= 17 + 10
= 27
Answer(s): (a) 17; (b) 27