At a fair, an adult ticket cost $7 and a child ticket cost $1. Last Thursday, the fair sold 97 more adult tickets than child tickets. A total of $999 was collected. How many child tickets were sold?
| |
Adults |
Children |
Total |
| Number |
1 u + 97 |
1 u |
2 u |
| Value |
$7 |
$1 |
|
| Total value |
7 u + 679 |
1 u |
8 u + 679 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $7
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 = 7(1 u + 97) = 7 u + 679
Total cost of all the tickets
= 1 u + 7 u + 679
= 8 u + 679
8 u + 679 = 999
8 u = 999 - 679
8 u = 320
1 u = 320 ÷ 8 = 40
Number of child tickets = 40
Answer(s): 40
