At a concert hall, each adult ticket cost $32 and each child ticket cost $14. On Saturday, the number of adult tickets sold was 68 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 25%. If a total of 925 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 68 |
2 u + 68 |
Change |
- 0.15 u |
+ 0.25 u + 17 |
|
After |
0.85 u |
1.25 u + 85 |
2.1 u + 85 |
15% x 1 u =
15100 x 1 u = 0.15 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 68 =
25100 x 68 = 17
Number of tickets sold on Sunday
= 0.85 u + 1.25 u + 85
= 2.1 u + 85
2.1 u + 85 = 925
2.1 u = 925 - 85
2.1 u = 840
1 u = 840 ÷ 2.1 = 400
Amount collected from adult tickets on Saturday
= 1 u x 32
= 400 x 32
= $12800
Amount collected from child tickets on Saturday
= 14(1 u + 68)
= 14(400 + 68)
= 14 x 468
= $6552
Total amount collected on Saturday
= 12800 + 6552
= $19352
Answer(s):$19352