At a stadium, each adult ticket cost $33 and each child ticket cost $13. On Thursday, the number of adult tickets sold was 130 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 20%. If a total of 856 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 130 |
2 u + 130 |
Change |
- 0.45 u |
+ 0.2 u + 26 |
|
After |
0.55 u |
1.2 u + 156 |
1.75 u + 156 |
45% x 1 u =
45100 x 1 u = 0.45 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 130 =
20100 x 130 = 26
Number of tickets sold on Friday
= 0.55 u + 1.2 u + 156
= 1.75 u + 156
1.75 u + 156 = 856
1.75 u = 856 - 156
1.75 u = 700
1 u = 700 ÷ 1.75 = 400
Amount collected from adult tickets on Thursday
= 1 u x 33
= 400 x 33
= $13200
Amount collected from child tickets on Thursday
= 13(1 u + 130)
= 13(400 + 130)
= 13 x 530
= $6890
Total amount collected on Thursday
= 13200 + 6890
= $20090
Answer(s):$20090