At a fair, an adult ticket cost $7 and a child ticket cost $1. Last Thursday, the fair sold 53 more adult tickets than child tickets. A total of $635 was collected. How many child tickets were sold?
|
Adults |
Children |
Total |
Number |
1 u + 53 |
1 u |
2 u |
Value |
$7 |
$1 |
|
Total value |
7 u + 371 |
1 u |
8 u + 371 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $7
Number of children = 1 u
Number of adults = 1 u + 53
Total cost of child tickets = 1 u x 1 = 1 u
Total cost of adult tickets = 7(1 u + 53) = 7 u + 371
Total cost of all the tickets
= 1 u + 7 u + 371
= 8 u + 371
8 u + 371 = 635
8 u = 635 - 371
8 u = 264
1 u = 264 ÷ 8 = 33
Number of child tickets = 33
Answer(s): 33