At a fair, an adult ticket cost $4 and a child ticket cost $1. Last Saturday, the fair sold 74 more adult tickets than child tickets. A total of $426 was collected. How many child tickets were sold?
| |
Adults |
Children |
Total |
| Number |
1 u + 74 |
1 u |
2 u |
| Value |
$4 |
$1 |
|
| Total value |
4 u + 296 |
1 u |
5 u + 296 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $4
Number of children = 1 u
Number of adults = 1 u + 74
Total cost of child tickets = 1 u x 1 = 1 u
Total cost of adult tickets = 4(1 u + 74) = 4 u + 296
Total cost of all the tickets
= 1 u + 4 u + 296
= 5 u + 296
5 u + 296 = 426
5 u = 426 - 296
5 u = 130
1 u = 130 ÷ 5 = 26
Number of child tickets = 26
Answer(s): 26
