At a theme park, an adult ticket cost $9 and a child ticket cost $1. Last Thursday, the theme park sold 86 more adult tickets than child tickets. A total of $994 was collected. How many child tickets were sold?
| |
Adults |
Children |
Total |
| Number |
1 u + 86 |
1 u |
2 u |
| Value |
$9 |
$1 |
|
| Total value |
9 u + 774 |
1 u |
10 u + 774 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $9
Number of children = 1 u
Number of adults = 1 u + 86
Total cost of child tickets = 1 u x 1 = 1 u
Total cost of adult tickets = 9(1 u + 86) = 9 u + 774
Total cost of all the tickets
= 1 u + 9 u + 774
= 10 u + 774
10 u + 774 = 994
10 u = 994 - 774
10 u = 220
1 u = 220 ÷ 10 = 22
Number of child tickets = 22
Answer(s): 22
