At a bird park, each adult ticket cost $33 and each child ticket cost $5. On Wednesday, the number of adult tickets sold was 100 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 10%. If a total of 1730 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 100 |
2 u + 100 |
Change |
- 0.3 u |
+ 0.1 u + 10 |
|
After |
0.7 u |
1.1 u + 110 |
1.8 u + 110 |
30% x 1 u =
30100 x 1 u = 0.3 u
10% x 1 u =
10100 x 1 u = 0.1 u
10% x 100 =
10100 x 100 = 10
Number of tickets sold on Thursday
= 0.7 u + 1.1 u + 110
= 1.8 u + 110
1.8 u + 110 = 1730
1.8 u = 1730 - 110
1.8 u = 1620
1 u = 1620 ÷ 1.8 = 900
Amount collected from adult tickets on Wednesday
= 1 u x 33
= 900 x 33
= $29700
Amount collected from child tickets on Wednesday
= 5(1 u + 100)
= 5(900 + 100)
= 5 x 1000
= $5000
Total amount collected on Wednesday
= 29700 + 5000
= $34700
Answer(s):$34700