At a stadium, each adult ticket cost $21 and each child ticket cost $6. On Thursday, the number of adult tickets sold was 68 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 50%. If a total of 1127 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 68 |
2 u + 68 |
Change |
- 0.45 u |
+ 0.5 u + 34 |
|
After |
0.55 u |
1.5 u + 102 |
2.05 u + 102 |
45% x 1 u =
45100 x 1 u = 0.45 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 68 =
50100 x 68 = 34
Number of tickets sold on Friday
= 0.55 u + 1.5 u + 102
= 2.05 u + 102
2.05 u + 102 = 1127
2.05 u = 1127 - 102
2.05 u = 1025
1 u = 1025 ÷ 2.05 = 500
Amount collected from adult tickets on Thursday
= 1 u x 21
= 500 x 21
= $10500
Amount collected from child tickets on Thursday
= 6(1 u + 68)
= 6(500 + 68)
= 6 x 568
= $3408
Total amount collected on Thursday
= 10500 + 3408
= $13908
Answer(s):$13908