At a theme park, an adult ticket cost $6 and a child ticket cost $1. Last Wednesday, the theme park sold 52 more adult tickets than child tickets. A total of $634 was collected. How many child tickets were sold?
|
Adults |
Children |
Total |
Number |
1 u + 52 |
1 u |
2 u |
Value |
$6 |
$1 |
|
Total value |
6 u + 312 |
1 u |
7 u + 312 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $6
Number of children = 1 u
Number of adults = 1 u + 52
Total cost of child tickets = 1 u x 1 = 1 u
Total cost of adult tickets = 6(1 u + 52) = 6 u + 312
Total cost of all the tickets
= 1 u + 6 u + 312
= 7 u + 312
7 u + 312 = 634
7 u = 634 - 312
7 u = 322
1 u = 322 ÷ 7 = 46
Number of child tickets = 46
Answer(s): 46