At a concert hall, each adult ticket cost $37 and each child ticket cost $8. On Saturday, the number of adult tickets sold was 100 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 5%. If a total of 1470 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 100 |
2 u + 100 |
Change |
- 0.1 u |
+ 0.05 u + 5 |
|
After |
0.9 u |
1.05 u + 105 |
1.95 u + 105 |
10% x 1 u =
10100 x 1 u = 0.1 u
5% x 1 u =
5100 x 1 u = 0.05 u
5% x 100 =
5100 x 100 = 5
Number of tickets sold on Sunday
= 0.9 u + 1.05 u + 105
= 1.95 u + 105
1.95 u + 105 = 1470
1.95 u = 1470 - 105
1.95 u = 1365
1 u = 1365 ÷ 1.95 = 700
Amount collected from adult tickets on Saturday
= 1 u x 37
= 700 x 37
= $25900
Amount collected from child tickets on Saturday
= 8(1 u + 100)
= 8(700 + 100)
= 8 x 800
= $6400
Total amount collected on Saturday
= 25900 + 6400
= $32300
Answer(s):$32300