Some visitors paid a total of $250 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 15 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 15 |
1 u |
|
Value |
$8 |
$2 |
|
Total value |
8 u + 120 |
2 u |
$250 |
(a)
Cost of an adult ticket
= 4 x 2
= $8
Cost of all the adult tickets
= 8(1 u + 15)
= 8 u + 120
Total cost of the tickets
= 8 u + 120 + 2 u
= 10 u + 120
10 u + 120 = 250
10 u = 250 - 120
10 u = 130
1 u = 130 ÷ 10 = 13
Total number of children
= 1 u
= 13
(b)
Total number of adults
= 1 u + 15
= 13 + 15
= 28
Answer(s): (a) 13; (b) 28