At a stadium, each adult ticket cost $34 and each child ticket cost $14. On Thursday, the number of adult tickets sold was 124 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 25%. If a total of 1865 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 124 |
2 u + 124 |
Change |
- 0.35 u |
+ 0.25 u + 31 |
|
After |
0.65 u |
1.25 u + 155 |
1.9 u + 155 |
35% x 1 u =
35100 x 1 u = 0.35 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 124 =
25100 x 124 = 31
Number of tickets sold on Friday
= 0.65 u + 1.25 u + 155
= 1.9 u + 155
1.9 u + 155 = 1865
1.9 u = 1865 - 155
1.9 u = 1710
1 u = 1710 ÷ 1.9 = 900
Amount collected from adult tickets on Thursday
= 1 u x 34
= 900 x 34
= $30600
Amount collected from child tickets on Thursday
= 14(1 u + 124)
= 14(900 + 124)
= 14 x 1024
= $14336
Total amount collected on Thursday
= 30600 + 14336
= $44936
Answer(s):$44936