At a concert hall, each adult ticket cost $36 and each child ticket cost $9. On Wednesday, the number of adult tickets sold was 135 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 50% while the number of child tickets sold increased by 40%. If a total of 569 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 135 |
2 u + 135 |
Change |
- 0.5 u |
+ 0.4 u + 54 |
|
After |
0.5 u |
1.4 u + 189 |
1.9 u + 189 |
50% x 1 u =
50100 x 1 u = 0.5 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 135 =
40100 x 135 = 54
Number of tickets sold on Thursday
= 0.5 u + 1.4 u + 189
= 1.9 u + 189
1.9 u + 189 = 569
1.9 u = 569 - 189
1.9 u = 380
1 u = 380 ÷ 1.9 = 200
Amount collected from adult tickets on Wednesday
= 1 u x 36
= 200 x 36
= $7200
Amount collected from child tickets on Wednesday
= 9(1 u + 135)
= 9(200 + 135)
= 9 x 335
= $3015
Total amount collected on Wednesday
= 7200 + 3015
= $10215
Answer(s):$10215