At a theme park, an adult ticket cost $2 and a child ticket cost $1. Last Friday, the theme park sold 97 more adult tickets than child tickets. A total of $314 was collected. How many child tickets were sold?
| |
Adults |
Children |
Total |
| Number |
1 u + 97 |
1 u |
2 u |
| Value |
$2 |
$1 |
|
| Total value |
2 u + 194 |
1 u |
3 u + 194 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $2
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 = 2(1 u + 97) = 2 u + 194
Total cost of all the tickets
= 1 u + 2 u + 194
= 3 u + 194
3 u + 194 = 314
3 u = 314 - 194
3 u = 120
1 u = 120 ÷ 3 = 40
Number of child tickets = 40
Answer(s): 40
