At a park, each adult ticket cost $37 and each child ticket cost $10. On Wednesday, the number of adult tickets sold was 105 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 40%. If a total of 852 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 105 |
2 u + 105 |
Change |
- 0.05 u |
+ 0.4 u + 42 |
|
After |
0.95 u |
1.4 u + 147 |
2.35 u + 147 |
5% x 1 u =
5100 x 1 u = 0.05 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 105 =
40100 x 105 = 42
Number of tickets sold on Thursday
= 0.95 u + 1.4 u + 147
= 2.35 u + 147
2.35 u + 147 = 852
2.35 u = 852 - 147
2.35 u = 705
1 u = 705 ÷ 2.35 = 300
Amount collected from adult tickets on Wednesday
= 1 u x 37
= 300 x 37
= $11100
Amount collected from child tickets on Wednesday
= 10(1 u + 105)
= 10(300 + 105)
= 10 x 405
= $4050
Total amount collected on Wednesday
= 11100 + 4050
= $15150
Answer(s):$15150