At a park, each adult ticket cost $36 and each child ticket cost $10. On Saturday, the number of adult tickets sold was 140 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 50%. If a total of 1030 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 140 |
2 u + 140 |
Change |
- 0.45 u |
+ 0.5 u + 70 |
|
After |
0.55 u |
1.5 u + 210 |
2.05 u + 210 |
45% x 1 u =
45100 x 1 u = 0.45 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 140 =
50100 x 140 = 70
Number of tickets sold on Sunday
= 0.55 u + 1.5 u + 210
= 2.05 u + 210
2.05 u + 210 = 1030
2.05 u = 1030 - 210
2.05 u = 820
1 u = 820 ÷ 2.05 = 400
Amount collected from adult tickets on Saturday
= 1 u x 36
= 400 x 36
= $14400
Amount collected from child tickets on Saturday
= 10(1 u + 140)
= 10(400 + 140)
= 10 x 540
= $5400
Total amount collected on Saturday
= 14400 + 5400
= $19800
Answer(s):$19800