Some visitors paid a total of $1099 for entrance tickets to a theme park. The entrance ticket for a child cost $7. The entrance ticket for an adult cost 3 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 |
$21 |
$7 |
|
Total value |
21 u + 315 |
7 u |
$1099 |
(a)
Cost of an adult ticket
= 3 x 7
= $21
Cost of all the adult tickets
= 21(1 u + 15)
= 21 u + 315
Total cost of the tickets
= 21 u + 315 + 7 u
= 28 u + 315
28 u + 315 = 1099
28 u = 1099 - 315
28 u = 784
1 u = 784 ÷ 28 = 28
Total number of children
= 1 u
= 28
(b)
Total number of adults
= 1 u + 15
= 28 + 15
= 43
Answer(s): (a) 28; (b) 43