At a concert hall, each adult ticket cost $27 and each child ticket cost $7. On Tuesday, the number of adult tickets sold was 135 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 50% while the number of child tickets sold increased by 40%. If a total of 1709 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
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 Wednesday
= 0.5 u + 1.4 u + 189
= 1.9 u + 189
1.9 u + 189 = 1709
1.9 u = 1709 - 189
1.9 u = 1520
1 u = 1520 ÷ 1.9 = 800
Amount collected from adult tickets on Tuesday
= 1 u x 27
= 800 x 27
= $21600
Amount collected from child tickets on Tuesday
= 7(1 u + 135)
= 7(800 + 135)
= 7 x 935
= $6545
Total amount collected on Tuesday
= 21600 + 6545
= $28145
Answer(s):$28145