At a stadium, each adult ticket cost $26 and each child ticket cost $11. On Wednesday, the number of adult tickets sold was 55 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 282 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 55 |
2 u + 55 |
Change |
- 0.35 u |
+ 0.4 u + 22 |
|
After |
0.65 u |
1.4 u + 77 |
2.05 u + 77 |
35% x 1 u =
35100 x 1 u = 0.35 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 55 =
40100 x 55 = 22
Number of tickets sold on Thursday
= 0.65 u + 1.4 u + 77
= 2.05 u + 77
2.05 u + 77 = 282
2.05 u = 282 - 77
2.05 u = 205
1 u = 205 ÷ 2.05 = 100
Amount collected from adult tickets on Wednesday
= 1 u x 26
= 100 x 26
= $2600
Amount collected from child tickets on Wednesday
= 11(1 u + 55)
= 11(100 + 55)
= 11 x 155
= $1705
Total amount collected on Wednesday
= 2600 + 1705
= $4305
Answer(s):$4305