At a arcade, an adult ticket cost $10 and a child ticket cost $1. Last Saturday, the arcade sold 83 more adult tickets than child tickets. A total of $1083 was collected. How many child tickets were sold?
| |
Adults |
Children |
Total |
| Number |
1 u + 83 |
1 u |
2 u |
| Value |
$10 |
$1 |
|
| Total value |
10 u + 830 |
1 u |
11 u + 830 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $10
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 = 10(1 u + 83) = 10 u + 830
Total cost of all the tickets
= 1 u + 10 u + 830
= 11 u + 830
11 u + 830 = 1083
11 u = 1083 - 830
11 u = 253
1 u = 253 ÷ 11 = 23
Number of child tickets = 23
Answer(s): 23
