At a stadium, each adult ticket cost $37 and each child ticket cost $7. On Wednesday, the number of adult tickets sold was 92 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 25%. If a total of 730 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 92 |
2 u + 92 |
Change |
- 0.2 u |
+ 0.25 u + 23 |
|
After |
0.8 u |
1.25 u + 115 |
2.05 u + 115 |
20% x 1 u =
20100 x 1 u = 0.2 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 92 =
25100 x 92 = 23
Number of tickets sold on Thursday
= 0.8 u + 1.25 u + 115
= 2.05 u + 115
2.05 u + 115 = 730
2.05 u = 730 - 115
2.05 u = 615
1 u = 615 ÷ 2.05 = 300
Amount collected from adult tickets on Wednesday
= 1 u x 37
= 300 x 37
= $11100
Amount collected from child tickets on Wednesday
= 7(1 u + 92)
= 7(300 + 92)
= 7 x 392
= $2744
Total amount collected on Wednesday
= 11100 + 2744
= $13844
Answer(s):$13844