At a park, each adult ticket cost $28 and each child ticket cost $5. On Wednesday, the number of adult tickets sold was 60 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 50%. If a total of 295 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 60 |
2 u + 60 |
Change |
- 0.45 u |
+ 0.5 u + 30 |
|
After |
0.55 u |
1.5 u + 90 |
2.05 u + 90 |
45% x 1 u =
45100 x 1 u = 0.45 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 60 =
50100 x 60 = 30
Number of tickets sold on Thursday
= 0.55 u + 1.5 u + 90
= 2.05 u + 90
2.05 u + 90 = 295
2.05 u = 295 - 90
2.05 u = 205
1 u = 205 ÷ 2.05 = 100
Amount collected from adult tickets on Wednesday
= 1 u x 28
= 100 x 28
= $2800
Amount collected from child tickets on Wednesday
= 5(1 u + 60)
= 5(100 + 60)
= 5 x 160
= $800
Total amount collected on Wednesday
= 2800 + 800
= $3600
Answer(s):$3600