At a museum, each adult ticket cost $22 and each child ticket cost $18. On Tuesday, the number of adult tickets sold was 50 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 20%. If a total of 935 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 50 |
2 u + 50 |
Change |
- 0.45 u |
+ 0.2 u + 10 |
|
After |
0.55 u |
1.2 u + 60 |
1.75 u + 60 |
45% x 1 u =
45100 x 1 u = 0.45 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 50 =
20100 x 50 = 10
Number of tickets sold on Wednesday
= 0.55 u + 1.2 u + 60
= 1.75 u + 60
1.75 u + 60 = 935
1.75 u = 935 - 60
1.75 u = 875
1 u = 875 ÷ 1.75 = 500
Amount collected from adult tickets on Tuesday
= 1 u x 22
= 500 x 22
= $11000
Amount collected from child tickets on Tuesday
= 18(1 u + 50)
= 18(500 + 50)
= 18 x 550
= $9900
Total amount collected on Tuesday
= 11000 + 9900
= $20900
Answer(s):$20900