At a arcade, an adult ticket cost $6 and a child ticket cost $1. Last Friday, the arcade sold 51 more adult tickets than child tickets. A total of $642 was collected. How many child tickets were sold?
| |
Adults |
Children |
Total |
| Number |
1 u + 51 |
1 u |
2 u |
| Value |
$6 |
$1 |
|
| Total value |
6 u + 306 |
1 u |
7 u + 306 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $6
Number of children = 1 u
Number of adults = 1 u + 51
Total cost of child tickets = 1 u x 1 = 1 u
Total cost of adult tickets = 6(1 u + 51) = 6 u + 306
Total cost of all the tickets
= 1 u + 6 u + 306
= 7 u + 306
7 u + 306 = 642
7 u = 642 - 306
7 u = 336
1 u = 336 ÷ 7 = 48
Number of child tickets = 48
Answer(s): 48
