At a laser tag park, an adult ticket cost $9 and a child ticket cost $1. Last Wednesday, the laser tag park sold 97 more adult tickets than child tickets. A total of $1193 was collected. How many child tickets were sold?
| |
Adults |
Children |
Total |
| Number |
1 u + 97 |
1 u |
2 u |
| Value |
$9 |
$1 |
|
| Total value |
9 u + 873 |
1 u |
10 u + 873 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $9
Number of children = 1 u
Number of adults = 1 u + 97
Total cost of child tickets = 1 u x 1 = 1 u
Total cost of adult tickets = 9(1 u + 97) = 9 u + 873
Total cost of all the tickets
= 1 u + 9 u + 873
= 10 u + 873
10 u + 873 = 1193
10 u = 1193 - 873
10 u = 320
1 u = 320 ÷ 10 = 32
Number of child tickets = 32
Answer(s): 32
