At a theme park, an adult ticket cost $8 and a child ticket cost $1. Last Friday, the theme park sold 83 more adult tickets than child tickets. A total of $961 was collected. How many child tickets were sold?
| |
Adults |
Children |
Total |
| Number |
1 u + 83 |
1 u |
2 u |
| Value |
$8 |
$1 |
|
| Total value |
8 u + 664 |
1 u |
9 u + 664 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $8
Number of children = 1 u
Number of adults = 1 u + 83
Total cost of child tickets = 1 u x 1 = 1 u
Total cost of adult tickets = 8(1 u + 83) = 8 u + 664
Total cost of all the tickets
= 1 u + 8 u + 664
= 9 u + 664
9 u + 664 = 961
9 u = 961 - 664
9 u = 297
1 u = 297 ÷ 9 = 33
Number of child tickets = 33
Answer(s): 33
