At a concert hall, each adult ticket cost $31 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 10% while the number of child tickets sold increased by 50%. If a total of 1542 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 |
- 0.1 u |
+ 0.5 u + 34 |
|
After |
0.9 u |
1.5 u + 102 |
2.4 u + 102 |
10% x 1 u =
10100 x 1 u = 0.1 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 68 =
50100 x 68 = 34
Number of tickets sold on Sunday
= 0.9 u + 1.5 u + 102
= 2.4 u + 102
2.4 u + 102 = 1542
2.4 u = 1542 - 102
2.4 u = 1440
1 u = 1440 ÷ 2.4 = 600
Amount collected from adult tickets on Saturday
= 1 u x 31
= 600 x 31
= $18600
Amount collected from child tickets on Saturday
= 14(1 u + 68)
= 14(600 + 68)
= 14 x 668
= $9352
Total amount collected on Saturday
= 18600 + 9352
= $27952
Answer(s):$27952