Some visitors paid a total of $1980 for entrance tickets to a theme park. The entrance ticket for a child cost $10. The entrance ticket for an adult cost 4 times as much. If there were 17 more adults than children, how many of the visitors were
- children?
- adults?
|
Adults |
Children |
Total |
Number |
1 u + 17 |
1 u |
|
Value |
$40 |
$10 |
|
Total value |
40 u + 680 |
10 u |
$1980 |
(a)
Cost of an adult ticket
= 4 x 10
= $40
Cost of all the adult tickets
= 40(1 u + 17)
= 40 u + 680
Total cost of the tickets
= 40 u + 680 + 10 u
= 50 u + 680
50 u + 680 = 1980
50 u = 1980 - 680
50 u = 1300
1 u = 1300 ÷ 50 = 26
Total number of children
= 1 u
= 26
(b)
Total number of adults
= 1 u + 17
= 26 + 17
= 43
Answer(s): (a) 26; (b) 43