At a museum, each adult ticket cost $36 and each child ticket cost $11. On Wednesday, the number of adult tickets sold was 88 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 25%. If a total of 890 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 88 |
2 u + 88 |
Change |
- 0.3 u |
+ 0.25 u + 22 |
|
After |
0.7 u |
1.25 u + 110 |
1.95 u + 110 |
30% x 1 u =
30100 x 1 u = 0.3 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 88 =
25100 x 88 = 22
Number of tickets sold on Thursday
= 0.7 u + 1.25 u + 110
= 1.95 u + 110
1.95 u + 110 = 890
1.95 u = 890 - 110
1.95 u = 780
1 u = 780 ÷ 1.95 = 400
Amount collected from adult tickets on Wednesday
= 1 u x 36
= 400 x 36
= $14400
Amount collected from child tickets on Wednesday
= 11(1 u + 88)
= 11(400 + 88)
= 11 x 488
= $5368
Total amount collected on Wednesday
= 14400 + 5368
= $19768
Answer(s):$19768