At a stadium, each adult ticket cost $39 and each child ticket cost $12. On Tuesday, the number of adult tickets sold was 88 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 50%. If a total of 1357 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 88 |
2 u + 88 |
Change |
- 0.05 u |
+ 0.5 u + 44 |
|
After |
0.95 u |
1.5 u + 132 |
2.45 u + 132 |
5% x 1 u =
5100 x 1 u = 0.05 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 88 =
50100 x 88 = 44
Number of tickets sold on Wednesday
= 0.95 u + 1.5 u + 132
= 2.45 u + 132
2.45 u + 132 = 1357
2.45 u = 1357 - 132
2.45 u = 1225
1 u = 1225 ÷ 2.45 = 500
Amount collected from adult tickets on Tuesday
= 1 u x 39
= 500 x 39
= $19500
Amount collected from child tickets on Tuesday
= 12(1 u + 88)
= 12(500 + 88)
= 12 x 588
= $7056
Total amount collected on Tuesday
= 19500 + 7056
= $26556
Answer(s):$26556