Some visitors paid a total of $679 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 11 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 11 |
1 u |
|
Value |
$21 |
$7 |
|
Total value |
21 u + 231 |
7 u |
$679 |
(a)
Cost of an adult ticket
= 3 x 7
= $21
Cost of all the adult tickets
= 21(1 u + 11)
= 21 u + 231
Total cost of the tickets
= 21 u + 231 + 7 u
= 28 u + 231
28 u + 231 = 679
28 u = 679 - 231
28 u = 448
1 u = 448 ÷ 28 = 16
Total number of children
= 1 u
= 16
(b)
Total number of adults
= 1 u + 11
= 16 + 11
= 27
Answer(s): (a) 16; (b) 27