At a theme park, each adult ticket cost $32 and each child ticket cost $13. On Wednesday, the number of adult tickets sold was 85 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 20%. If a total of 492 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 85 |
2 u + 85 |
Change |
- 0.25 u |
+ 0.2 u + 17 |
|
After |
0.75 u |
1.2 u + 102 |
1.95 u + 102 |
25% x 1 u =
25100 x 1 u = 0.25 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 85 =
20100 x 85 = 17
Number of tickets sold on Thursday
= 0.75 u + 1.2 u + 102
= 1.95 u + 102
1.95 u + 102 = 492
1.95 u = 492 - 102
1.95 u = 390
1 u = 390 ÷ 1.95 = 200
Amount collected from adult tickets on Wednesday
= 1 u x 32
= 200 x 32
= $6400
Amount collected from child tickets on Wednesday
= 13(1 u + 85)
= 13(200 + 85)
= 13 x 285
= $3705
Total amount collected on Wednesday
= 6400 + 3705
= $10105
Answer(s):$10105