At a fair, an adult ticket cost $10 and a child ticket cost $1. Last Sunday, the fair sold 58 more adult tickets than child tickets. A total of $877 was collected. How many child tickets were sold?
| |
Adults |
Children |
Total |
| Number |
1 u + 58 |
1 u |
2 u |
| Value |
$10 |
$1 |
|
| Total value |
10 u + 580 |
1 u |
11 u + 580 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $10
Number of children = 1 u
Number of adults = 1 u + 58
Total cost of child tickets = 1 u x 1 = 1 u
Total cost of adult tickets = 10(1 u + 58) = 10 u + 580
Total cost of all the tickets
= 1 u + 10 u + 580
= 11 u + 580
11 u + 580 = 877
11 u = 877 - 580
11 u = 297
1 u = 297 ÷ 11 = 27
Number of child tickets = 27
Answer(s): 27
