At a museum, each adult ticket cost $40 and each child ticket cost $16. On Wednesday, the number of adult tickets sold was 100 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 40%. If a total of 755 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 100 |
2 u + 100 |
Change |
- 0.35 u |
+ 0.4 u + 40 |
|
After |
0.65 u |
1.4 u + 140 |
2.05 u + 140 |
35% x 1 u =
35100 x 1 u = 0.35 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 100 =
40100 x 100 = 40
Number of tickets sold on Thursday
= 0.65 u + 1.4 u + 140
= 2.05 u + 140
2.05 u + 140 = 755
2.05 u = 755 - 140
2.05 u = 615
1 u = 615 ÷ 2.05 = 300
Amount collected from adult tickets on Wednesday
= 1 u x 40
= 300 x 40
= $12000
Amount collected from child tickets on Wednesday
= 16(1 u + 100)
= 16(300 + 100)
= 16 x 400
= $6400
Total amount collected on Wednesday
= 12000 + 6400
= $18400
Answer(s):$18400