At a arcade, an adult ticket cost $4 and a child ticket cost $1. Last Sunday, the arcade sold 53 more adult tickets than child tickets. A total of $422 was collected. How many child tickets were sold?
| |
Adults |
Children |
Total |
| Number |
1 u + 53 |
1 u |
2 u |
| Value |
$4 |
$1 |
|
| Total value |
4 u + 212 |
1 u |
5 u + 212 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $4
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 = 4(1 u + 53) = 4 u + 212
Total cost of all the tickets
= 1 u + 4 u + 212
= 5 u + 212
5 u + 212 = 422
5 u = 422 - 212
5 u = 210
1 u = 210 ÷ 5 = 42
Number of child tickets = 42
Answer(s): 42
