At a concert hall, each adult ticket cost $27 and each child ticket cost $14. On Friday, the number of adult tickets sold was 166 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 50%. If a total of 719 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 166 |
2 u + 166 |
Change |
- 0.15 u |
+ 0.5 u + 83 |
|
After |
0.85 u |
1.5 u + 249 |
2.35 u + 249 |
15% x 1 u =
15100 x 1 u = 0.15 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 166 =
50100 x 166 = 83
Number of tickets sold on Saturday
= 0.85 u + 1.5 u + 249
= 2.35 u + 249
2.35 u + 249 = 719
2.35 u = 719 - 249
2.35 u = 470
1 u = 470 ÷ 2.35 = 200
Amount collected from adult tickets on Friday
= 1 u x 27
= 200 x 27
= $5400
Amount collected from child tickets on Friday
= 14(1 u + 166)
= 14(200 + 166)
= 14 x 366
= $5124
Total amount collected on Friday
= 5400 + 5124
= $10524
Answer(s):$10524