At a concert hall, each adult ticket cost $38 and each child ticket cost $9. On Thursday, the number of adult tickets sold was 140 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 25%. If a total of 1435 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 140 |
2 u + 140 |
Change |
- 0.15 u |
+ 0.25 u + 35 |
|
After |
0.85 u |
1.25 u + 175 |
2.1 u + 175 |
15% x 1 u =
15100 x 1 u = 0.15 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 140 =
25100 x 140 = 35
Number of tickets sold on Friday
= 0.85 u + 1.25 u + 175
= 2.1 u + 175
2.1 u + 175 = 1435
2.1 u = 1435 - 175
2.1 u = 1260
1 u = 1260 ÷ 2.1 = 600
Amount collected from adult tickets on Thursday
= 1 u x 38
= 600 x 38
= $22800
Amount collected from child tickets on Thursday
= 9(1 u + 140)
= 9(600 + 140)
= 9 x 740
= $6660
Total amount collected on Thursday
= 22800 + 6660
= $29460
Answer(s):$29460