At a theme park, each adult ticket cost $38 and each child ticket cost $14. On Thursday, the number of adult tickets sold was 200 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 35%. If a total of 495 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 200 |
2 u + 200 |
Change |
- 0.1 u |
+ 0.35 u + 70 |
|
After |
0.9 u |
1.35 u + 270 |
2.25 u + 270 |
10% x 1 u =
10100 x 1 u = 0.1 u
35% x 1 u =
35100 x 1 u = 0.35 u
35% x 200 =
35100 x 200 = 70
Number of tickets sold on Friday
= 0.9 u + 1.35 u + 270
= 2.25 u + 270
2.25 u + 270 = 495
2.25 u = 495 - 270
2.25 u = 225
1 u = 225 ÷ 2.25 = 100
Amount collected from adult tickets on Thursday
= 1 u x 38
= 100 x 38
= $3800
Amount collected from child tickets on Thursday
= 14(1 u + 200)
= 14(100 + 200)
= 14 x 300
= $4200
Total amount collected on Thursday
= 3800 + 4200
= $8000
Answer(s):$8000