At a theme park, each adult ticket cost $33 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 25% while the number of child tickets sold increased by 5%. If a total of 1503 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 |
- 0.25 u |
+ 0.05 u + 3 |
|
After |
0.75 u |
1.05 u + 63 |
1.8 u + 63 |
25% x 1 u =
25100 x 1 u = 0.25 u
5% x 1 u =
5100 x 1 u = 0.05 u
5% x 60 =
5100 x 60 = 3
Number of tickets sold on Thursday
= 0.75 u + 1.05 u + 63
= 1.8 u + 63
1.8 u + 63 = 1503
1.8 u = 1503 - 63
1.8 u = 1440
1 u = 1440 ÷ 1.8 = 800
Amount collected from adult tickets on Wednesday
= 1 u x 33
= 800 x 33
= $26400
Amount collected from child tickets on Wednesday
= 5(1 u + 60)
= 5(800 + 60)
= 5 x 860
= $4300
Total amount collected on Wednesday
= 26400 + 4300
= $30700
Answer(s):$30700