At a park, each adult ticket cost $38 and each child ticket cost $16. On Wednesday, the number of adult tickets sold was 140 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 30%. If a total of 827 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 140 |
2 u + 140 |
Change |
- 0.15 u |
+ 0.3 u + 42 |
|
After |
0.85 u |
1.3 u + 182 |
2.15 u + 182 |
15% x 1 u =
15100 x 1 u = 0.15 u
30% x 1 u =
30100 x 1 u = 0.3 u
30% x 140 =
30100 x 140 = 42
Number of tickets sold on Thursday
= 0.85 u + 1.3 u + 182
= 2.15 u + 182
2.15 u + 182 = 827
2.15 u = 827 - 182
2.15 u = 645
1 u = 645 ÷ 2.15 = 300
Amount collected from adult tickets on Wednesday
= 1 u x 38
= 300 x 38
= $11400
Amount collected from child tickets on Wednesday
= 16(1 u + 140)
= 16(300 + 140)
= 16 x 440
= $7040
Total amount collected on Wednesday
= 11400 + 7040
= $18440
Answer(s):$18440