At a zoo, each adult ticket cost $29 and each child ticket cost $11. On Saturday, the number of adult tickets sold was 82 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 50%. If a total of 1843 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 82 |
2 u + 82 |
Change |
- 0.35 u |
+ 0.5 u + 41 |
|
After |
0.65 u |
1.5 u + 123 |
2.15 u + 123 |
35% x 1 u =
35100 x 1 u = 0.35 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 82 =
50100 x 82 = 41
Number of tickets sold on Sunday
= 0.65 u + 1.5 u + 123
= 2.15 u + 123
2.15 u + 123 = 1843
2.15 u = 1843 - 123
2.15 u = 1720
1 u = 1720 ÷ 2.15 = 800
Amount collected from adult tickets on Saturday
= 1 u x 29
= 800 x 29
= $23200
Amount collected from child tickets on Saturday
= 11(1 u + 82)
= 11(800 + 82)
= 11 x 882
= $9702
Total amount collected on Saturday
= 23200 + 9702
= $32902
Answer(s):$32902