At a concert hall, each adult ticket cost $34 and each child ticket cost $9. On Friday, the number of adult tickets sold was 132 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 25%. If a total of 885 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 132 |
2 u + 132 |
Change |
- 0.45 u |
+ 0.25 u + 33 |
|
After |
0.55 u |
1.25 u + 165 |
1.8 u + 165 |
45% x 1 u =
45100 x 1 u = 0.45 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 132 =
25100 x 132 = 33
Number of tickets sold on Saturday
= 0.55 u + 1.25 u + 165
= 1.8 u + 165
1.8 u + 165 = 885
1.8 u = 885 - 165
1.8 u = 720
1 u = 720 ÷ 1.8 = 400
Amount collected from adult tickets on Friday
= 1 u x 34
= 400 x 34
= $13600
Amount collected from child tickets on Friday
= 9(1 u + 132)
= 9(400 + 132)
= 9 x 532
= $4788
Total amount collected on Friday
= 13600 + 4788
= $18388
Answer(s):$18388