At a stadium, each adult ticket cost $21 and each child ticket cost $10. On Saturday, the number of adult tickets sold was 125 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 40%. If a total of 1610 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 125 |
2 u + 125 |
Change |
- 0.35 u |
+ 0.4 u + 50 |
|
After |
0.65 u |
1.4 u + 175 |
2.05 u + 175 |
35% x 1 u =
35100 x 1 u = 0.35 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 125 =
40100 x 125 = 50
Number of tickets sold on Sunday
= 0.65 u + 1.4 u + 175
= 2.05 u + 175
2.05 u + 175 = 1610
2.05 u = 1610 - 175
2.05 u = 1435
1 u = 1435 ÷ 2.05 = 700
Amount collected from adult tickets on Saturday
= 1 u x 21
= 700 x 21
= $14700
Amount collected from child tickets on Saturday
= 10(1 u + 125)
= 10(700 + 125)
= 10 x 825
= $8250
Total amount collected on Saturday
= 14700 + 8250
= $22950
Answer(s):$22950