At a stadium, each adult ticket cost $34 and each child ticket cost $14. On Monday, the number of adult tickets sold was 150 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 30%. If a total of 1485 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 150 |
2 u + 150 |
Change |
- 0.15 u |
+ 0.3 u + 45 |
|
After |
0.85 u |
1.3 u + 195 |
2.15 u + 195 |
15% x 1 u =
15100 x 1 u = 0.15 u
30% x 1 u =
30100 x 1 u = 0.3 u
30% x 150 =
30100 x 150 = 45
Number of tickets sold on Tuesday
= 0.85 u + 1.3 u + 195
= 2.15 u + 195
2.15 u + 195 = 1485
2.15 u = 1485 - 195
2.15 u = 1290
1 u = 1290 ÷ 2.15 = 600
Amount collected from adult tickets on Monday
= 1 u x 34
= 600 x 34
= $20400
Amount collected from child tickets on Monday
= 14(1 u + 150)
= 14(600 + 150)
= 14 x 750
= $10500
Total amount collected on Monday
= 20400 + 10500
= $30900
Answer(s):$30900