At a bird park, each adult ticket cost $25 and each child ticket cost $17. On Wednesday, the number of adult tickets sold was 112 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 25%. If a total of 560 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 112 |
2 u + 112 |
Change |
- 0.15 u |
+ 0.25 u + 28 |
|
After |
0.85 u |
1.25 u + 140 |
2.1 u + 140 |
15% x 1 u =
15100 x 1 u = 0.15 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 112 =
25100 x 112 = 28
Number of tickets sold on Thursday
= 0.85 u + 1.25 u + 140
= 2.1 u + 140
2.1 u + 140 = 560
2.1 u = 560 - 140
2.1 u = 420
1 u = 420 ÷ 2.1 = 200
Amount collected from adult tickets on Wednesday
= 1 u x 25
= 200 x 25
= $5000
Amount collected from child tickets on Wednesday
= 17(1 u + 112)
= 17(200 + 112)
= 17 x 312
= $5304
Total amount collected on Wednesday
= 5000 + 5304
= $10304
Answer(s):$10304