Some visitors paid a total of $882 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 10 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 10 |
1 u |
|
Value |
$21 |
$7 |
|
Total value |
21 u + 210 |
7 u |
$882 |
(a)
Cost of an adult ticket
= 3 x 7
= $21
Cost of all the adult tickets
= 21(1 u + 10)
= 21 u + 210
Total cost of the tickets
= 21 u + 210 + 7 u
= 28 u + 210
28 u + 210 = 882
28 u = 882 - 210
28 u = 672
1 u = 672 ÷ 28 = 24
Total number of children
= 1 u
= 24
(b)
Total number of adults
= 1 u + 10
= 24 + 10
= 34
Answer(s): (a) 24; (b) 34