At a park, each adult ticket cost $35 and each child ticket cost $10. On Friday, the number of adult tickets sold was 54 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 50%. If a total of 1721 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 54 |
2 u + 54 |
Change |
- 0.45 u |
+ 0.5 u + 27 |
|
After |
0.55 u |
1.5 u + 81 |
2.05 u + 81 |
45% x 1 u =
45100 x 1 u = 0.45 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 54 =
50100 x 54 = 27
Number of tickets sold on Saturday
= 0.55 u + 1.5 u + 81
= 2.05 u + 81
2.05 u + 81 = 1721
2.05 u = 1721 - 81
2.05 u = 1640
1 u = 1640 ÷ 2.05 = 800
Amount collected from adult tickets on Friday
= 1 u x 35
= 800 x 35
= $28000
Amount collected from child tickets on Friday
= 10(1 u + 54)
= 10(800 + 54)
= 10 x 854
= $8540
Total amount collected on Friday
= 28000 + 8540
= $36540
Answer(s):$36540