At a park, each adult ticket cost $38 and each child ticket cost $14. On Wednesday, the number of adult tickets sold was 152 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 50%. If a total of 873 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 152 |
2 u + 152 |
Change |
- 0.35 u |
+ 0.5 u + 76 |
|
After |
0.65 u |
1.5 u + 228 |
2.15 u + 228 |
35% x 1 u =
35100 x 1 u = 0.35 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 152 =
50100 x 152 = 76
Number of tickets sold on Thursday
= 0.65 u + 1.5 u + 228
= 2.15 u + 228
2.15 u + 228 = 873
2.15 u = 873 - 228
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
= 14(1 u + 152)
= 14(300 + 152)
= 14 x 452
= $6328
Total amount collected on Wednesday
= 11400 + 6328
= $17728
Answer(s):$17728