At a concert hall, each adult ticket cost $37 and each child ticket cost $8. On Saturday, the number of adult tickets sold was 164 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 25%. If a total of 2185 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 164 |
2 u + 164 |
Change |
- 0.05 u |
+ 0.25 u + 41 |
|
After |
0.95 u |
1.25 u + 205 |
2.2 u + 205 |
5% x 1 u =
5100 x 1 u = 0.05 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 164 =
25100 x 164 = 41
Number of tickets sold on Sunday
= 0.95 u + 1.25 u + 205
= 2.2 u + 205
2.2 u + 205 = 2185
2.2 u = 2185 - 205
2.2 u = 1980
1 u = 1980 ÷ 2.2 = 900
Amount collected from adult tickets on Saturday
= 1 u x 37
= 900 x 37
= $33300
Amount collected from child tickets on Saturday
= 8(1 u + 164)
= 8(900 + 164)
= 8 x 1064
= $8512
Total amount collected on Saturday
= 33300 + 8512
= $41812
Answer(s):$41812