At a museum, each adult ticket cost $40 and each child ticket cost $7. On Tuesday, the number of adult tickets sold was 114 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 50%. If a total of 876 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 114 |
2 u + 114 |
Change |
- 0.15 u |
+ 0.5 u + 57 |
|
After |
0.85 u |
1.5 u + 171 |
2.35 u + 171 |
15% x 1 u =
15100 x 1 u = 0.15 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 114 =
50100 x 114 = 57
Number of tickets sold on Wednesday
= 0.85 u + 1.5 u + 171
= 2.35 u + 171
2.35 u + 171 = 876
2.35 u = 876 - 171
2.35 u = 705
1 u = 705 ÷ 2.35 = 300
Amount collected from adult tickets on Tuesday
= 1 u x 40
= 300 x 40
= $12000
Amount collected from child tickets on Tuesday
= 7(1 u + 114)
= 7(300 + 114)
= 7 x 414
= $2898
Total amount collected on Tuesday
= 12000 + 2898
= $14898
Answer(s):$14898