At a stadium, each adult ticket cost $33 and each child ticket cost $11. On Tuesday, the number of adult tickets sold was 104 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 50%. If a total of 1596 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 104 |
2 u + 104 |
Change |
- 0.1 u |
+ 0.5 u + 52 |
|
After |
0.9 u |
1.5 u + 156 |
2.4 u + 156 |
10% x 1 u =
10100 x 1 u = 0.1 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 104 =
50100 x 104 = 52
Number of tickets sold on Wednesday
= 0.9 u + 1.5 u + 156
= 2.4 u + 156
2.4 u + 156 = 1596
2.4 u = 1596 - 156
2.4 u = 1440
1 u = 1440 ÷ 2.4 = 600
Amount collected from adult tickets on Tuesday
= 1 u x 33
= 600 x 33
= $19800
Amount collected from child tickets on Tuesday
= 11(1 u + 104)
= 11(600 + 104)
= 11 x 704
= $7744
Total amount collected on Tuesday
= 19800 + 7744
= $27544
Answer(s):$27544