At a concert hall, each adult ticket cost $36 and each child ticket cost $14. On Saturday, the number of adult tickets sold was 140 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 10%. If a total of 1054 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 140 |
2 u + 140 |
Change |
- 0.3 u |
+ 0.1 u + 14 |
|
After |
0.7 u |
1.1 u + 154 |
1.8 u + 154 |
30% x 1 u =
30100 x 1 u = 0.3 u
10% x 1 u =
10100 x 1 u = 0.1 u
10% x 140 =
10100 x 140 = 14
Number of tickets sold on Sunday
= 0.7 u + 1.1 u + 154
= 1.8 u + 154
1.8 u + 154 = 1054
1.8 u = 1054 - 154
1.8 u = 900
1 u = 900 ÷ 1.8 = 500
Amount collected from adult tickets on Saturday
= 1 u x 36
= 500 x 36
= $18000
Amount collected from child tickets on Saturday
= 14(1 u + 140)
= 14(500 + 140)
= 14 x 640
= $8960
Total amount collected on Saturday
= 18000 + 8960
= $26960
Answer(s):$26960