At a trampoline park, an adult ticket cost $5 and a child ticket cost $1. Last Friday, the trampoline park sold 55 more adult tickets than child tickets. A total of $407 was collected. How many child tickets were sold?
| |
Adults |
Children |
Total |
| Number |
1 u + 55 |
1 u |
2 u |
| Value |
$5 |
$1 |
|
| Total value |
5 u + 275 |
1 u |
6 u + 275 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $5
Number of children = 1 u
Number of adults = 1 u + 55
Total cost of child tickets = 1 u x 1 = 1 u
Total cost of adult tickets = 5(1 u + 55) = 5 u + 275
Total cost of all the tickets
= 1 u + 5 u + 275
= 6 u + 275
6 u + 275 = 407
6 u = 407 - 275
6 u = 132
1 u = 132 ÷ 6 = 22
Number of child tickets = 22
Answer(s): 22
