At a concert hall, each adult ticket cost $37 and each child ticket cost $13. On Monday, the number of adult tickets sold was 96 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 50%. If a total of 604 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 96 |
2 u + 96 |
Change |
- 0.2 u |
+ 0.5 u + 48 |
|
After |
0.8 u |
1.5 u + 144 |
2.3 u + 144 |
20% x 1 u =
20100 x 1 u = 0.2 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 96 =
50100 x 96 = 48
Number of tickets sold on Tuesday
= 0.8 u + 1.5 u + 144
= 2.3 u + 144
2.3 u + 144 = 604
2.3 u = 604 - 144
2.3 u = 460
1 u = 460 ÷ 2.3 = 200
Amount collected from adult tickets on Monday
= 1 u x 37
= 200 x 37
= $7400
Amount collected from child tickets on Monday
= 13(1 u + 96)
= 13(200 + 96)
= 13 x 296
= $3848
Total amount collected on Monday
= 7400 + 3848
= $11248
Answer(s):$11248