At a arcade, an adult ticket cost $2 and a child ticket cost $1. Last Saturday, the arcade sold 93 more adult tickets than child tickets. A total of $309 was collected. How many child tickets were sold?
| |
Adults |
Children |
Total |
| Number |
1 u + 93 |
1 u |
2 u |
| Value |
$2 |
$1 |
|
| Total value |
2 u + 186 |
1 u |
3 u + 186 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $2
Number of children = 1 u
Number of adults = 1 u + 93
Total cost of child tickets = 1 u x 1 = 1 u
Total cost of adult tickets = 2(1 u + 93) = 2 u + 186
Total cost of all the tickets
= 1 u + 2 u + 186
= 3 u + 186
3 u + 186 = 309
3 u = 309 - 186
3 u = 123
1 u = 123 ÷ 3 = 41
Number of child tickets = 41
Answer(s): 41
