At a theme park, each adult ticket cost $22 and each child ticket cost $12. On Wednesday, the number of adult tickets sold was 74 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 40% while the number of child tickets sold increased by 50%. If a total of 951 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 74 |
2 u + 74 |
Change |
- 0.4 u |
+ 0.5 u + 37 |
|
After |
0.6 u |
1.5 u + 111 |
2.1 u + 111 |
40% x 1 u =
40100 x 1 u = 0.4 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 74 =
50100 x 74 = 37
Number of tickets sold on Thursday
= 0.6 u + 1.5 u + 111
= 2.1 u + 111
2.1 u + 111 = 951
2.1 u = 951 - 111
2.1 u = 840
1 u = 840 ÷ 2.1 = 400
Amount collected from adult tickets on Wednesday
= 1 u x 22
= 400 x 22
= $8800
Amount collected from child tickets on Wednesday
= 12(1 u + 74)
= 12(400 + 74)
= 12 x 474
= $5688
Total amount collected on Wednesday
= 8800 + 5688
= $14488
Answer(s):$14488