At a funfair, an adult ticket cost $3 and a child ticket cost $1. Last Saturday, the funfair sold 66 more adult tickets than child tickets. A total of $322 was collected. How many child tickets were sold?
| |
Adults |
Children |
Total |
| Number |
1 u + 66 |
1 u |
2 u |
| Value |
$3 |
$1 |
|
| Total value |
3 u + 198 |
1 u |
4 u + 198 |
Cost of 1 child ticket = $1
Cost of 1 adult ticket = $3
Number of children = 1 u
Number of adults = 1 u + 66
Total cost of child tickets = 1 u x 1 = 1 u
Total cost of adult tickets = 3(1 u + 66) = 3 u + 198
Total cost of all the tickets
= 1 u + 3 u + 198
= 4 u + 198
4 u + 198 = 322
4 u = 322 - 198
4 u = 124
1 u = 124 ÷ 4 = 31
Number of child tickets = 31
Answer(s): 31
