At a tourist attraction, each adult ticket cost $39 and each child ticket cost $13. On Wednesday, the number of adult tickets sold was 50 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 40% while the number of child tickets sold increased by 50%. If a total of 1965 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 50 |
2 u + 50 |
Change |
- 0.4 u |
+ 0.5 u + 25 |
|
After |
0.6 u |
1.5 u + 75 |
2.1 u + 75 |
40% x 1 u =
40100 x 1 u = 0.4 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 50 =
50100 x 50 = 25
Number of tickets sold on Thursday
= 0.6 u + 1.5 u + 75
= 2.1 u + 75
2.1 u + 75 = 1965
2.1 u = 1965 - 75
2.1 u = 1890
1 u = 1890 ÷ 2.1 = 900
Amount collected from adult tickets on Wednesday
= 1 u x 39
= 900 x 39
= $35100
Amount collected from child tickets on Wednesday
= 13(1 u + 50)
= 13(900 + 50)
= 13 x 950
= $12350
Total amount collected on Wednesday
= 35100 + 12350
= $47450
Answer(s):$47450