Some visitors paid a total of $402 for entrance tickets to a theme park. The entrance ticket for a child cost $2. The entrance ticket for an adult cost 4 times as much. If there were 14 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 14 |
1 u |
|
Value |
$8 |
$2 |
|
Total value |
8 u + 112 |
2 u |
$402 |
(a)
Cost of an adult ticket
= 4 x 2
= $8
Cost of all the adult tickets
= 8(1 u + 14)
= 8 u + 112
Total cost of the tickets
= 8 u + 112 + 2 u
= 10 u + 112
10 u + 112 = 402
10 u = 402 - 112
10 u = 290
1 u = 290 ÷ 10 = 29
Total number of children
= 1 u
= 29
(b)
Total number of adults
= 1 u + 14
= 29 + 14
= 43
Answer(s): (a) 29; (b) 43