At a concert hall, each adult ticket cost $32 and each child ticket cost $14. On Saturday, the number of adult tickets sold was 96 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 25%. If a total of 530 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 96 |
2 u + 96 |
Change |
- 0.2 u |
+ 0.25 u + 24 |
|
After |
0.8 u |
1.25 u + 120 |
2.05 u + 120 |
20% x 1 u =
20100 x 1 u = 0.2 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 96 =
25100 x 96 = 24
Number of tickets sold on Sunday
= 0.8 u + 1.25 u + 120
= 2.05 u + 120
2.05 u + 120 = 530
2.05 u = 530 - 120
2.05 u = 410
1 u = 410 ÷ 2.05 = 200
Amount collected from adult tickets on Saturday
= 1 u x 32
= 200 x 32
= $6400
Amount collected from child tickets on Saturday
= 14(1 u + 96)
= 14(200 + 96)
= 14 x 296
= $4144
Total amount collected on Saturday
= 6400 + 4144
= $10544
Answer(s):$10544