At a stadium, each adult ticket cost $21 and each child ticket cost $9. On Tuesday, the number of adult tickets sold was 95 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 40%. If a total of 953 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 95 |
2 u + 95 |
Change |
- 0.35 u |
+ 0.4 u + 38 |
|
After |
0.65 u |
1.4 u + 133 |
2.05 u + 133 |
35% x 1 u =
35100 x 1 u = 0.35 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 95 =
40100 x 95 = 38
Number of tickets sold on Wednesday
= 0.65 u + 1.4 u + 133
= 2.05 u + 133
2.05 u + 133 = 953
2.05 u = 953 - 133
2.05 u = 820
1 u = 820 ÷ 2.05 = 400
Amount collected from adult tickets on Tuesday
= 1 u x 21
= 400 x 21
= $8400
Amount collected from child tickets on Tuesday
= 9(1 u + 95)
= 9(400 + 95)
= 9 x 495
= $4455
Total amount collected on Tuesday
= 8400 + 4455
= $12855
Answer(s):$12855