At a stadium, each adult ticket cost $39 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 10% while the number of child tickets sold increased by 40%. If a total of 2350 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 |
- 0.1 u |
+ 0.4 u + 80 |
|
After |
0.9 u |
1.4 u + 280 |
2.3 u + 280 |
10% x 1 u =
10100 x 1 u = 0.1 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 200 =
40100 x 200 = 80
Number of tickets sold on Thursday
= 0.9 u + 1.4 u + 280
= 2.3 u + 280
2.3 u + 280 = 2350
2.3 u = 2350 - 280
2.3 u = 2070
1 u = 2070 ÷ 2.3 = 900
Amount collected from adult tickets on Wednesday
= 1 u x 39
= 900 x 39
= $35100
Amount collected from child tickets on Wednesday
= 11(1 u + 200)
= 11(900 + 200)
= 11 x 1100
= $12100
Total amount collected on Wednesday
= 35100 + 12100
= $47200
Answer(s):$47200