At a stadium, each adult ticket cost $27 and each child ticket cost $15. On Monday, the number of adult tickets sold was 148 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 50%. If a total of 1832 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 148 |
2 u + 148 |
Change |
- 0.2 u |
+ 0.5 u + 74 |
|
After |
0.8 u |
1.5 u + 222 |
2.3 u + 222 |
20% x 1 u =
20100 x 1 u = 0.2 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 148 =
50100 x 148 = 74
Number of tickets sold on Tuesday
= 0.8 u + 1.5 u + 222
= 2.3 u + 222
2.3 u + 222 = 1832
2.3 u = 1832 - 222
2.3 u = 1610
1 u = 1610 ÷ 2.3 = 700
Amount collected from adult tickets on Monday
= 1 u x 27
= 700 x 27
= $18900
Amount collected from child tickets on Monday
= 15(1 u + 148)
= 15(700 + 148)
= 15 x 848
= $12720
Total amount collected on Monday
= 18900 + 12720
= $31620
Answer(s):$31620