At a stadium, each adult ticket cost $21 and each child ticket cost $11. On Wednesday, the number of adult tickets sold was 200 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 50%. If a total of 1450 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 200 |
2 u + 200 |
Change |
- 0.2 u |
+ 0.5 u + 100 |
|
After |
0.8 u |
1.5 u + 300 |
2.3 u + 300 |
20% x 1 u =
20100 x 1 u = 0.2 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 200 =
50100 x 200 = 100
Number of tickets sold on Thursday
= 0.8 u + 1.5 u + 300
= 2.3 u + 300
2.3 u + 300 = 1450
2.3 u = 1450 - 300
2.3 u = 1150
1 u = 1150 ÷ 2.3 = 500
Amount collected from adult tickets on Wednesday
= 1 u x 21
= 500 x 21
= $10500
Amount collected from child tickets on Wednesday
= 11(1 u + 200)
= 11(500 + 200)
= 11 x 700
= $7700
Total amount collected on Wednesday
= 10500 + 7700
= $18200
Answer(s):$18200