At a concert hall, each adult ticket cost $36 and each child ticket cost $9. On Wednesday, the number of adult tickets sold was 140 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 40%. If a total of 401 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 140 |
2 u + 140 |
Change |
- 0.35 u |
+ 0.4 u + 56 |
|
After |
0.65 u |
1.4 u + 196 |
2.05 u + 196 |
35% x 1 u =
35100 x 1 u = 0.35 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 140 =
40100 x 140 = 56
Number of tickets sold on Thursday
= 0.65 u + 1.4 u + 196
= 2.05 u + 196
2.05 u + 196 = 401
2.05 u = 401 - 196
2.05 u = 205
1 u = 205 ÷ 2.05 = 100
Amount collected from adult tickets on Wednesday
= 1 u x 36
= 100 x 36
= $3600
Amount collected from child tickets on Wednesday
= 9(1 u + 140)
= 9(100 + 140)
= 9 x 240
= $2160
Total amount collected on Wednesday
= 3600 + 2160
= $5760
Answer(s):$5760