At a zoo, each adult ticket cost $36 and each child ticket cost $9. On Tuesday, the number of adult tickets sold was 90 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 50% while the number of child tickets sold increased by 20%. If a total of 1468 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 90 |
2 u + 90 |
Change |
- 0.5 u |
+ 0.2 u + 18 |
|
After |
0.5 u |
1.2 u + 108 |
1.7 u + 108 |
50% x 1 u =
50100 x 1 u = 0.5 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 90 =
20100 x 90 = 18
Number of tickets sold on Wednesday
= 0.5 u + 1.2 u + 108
= 1.7 u + 108
1.7 u + 108 = 1468
1.7 u = 1468 - 108
1.7 u = 1360
1 u = 1360 ÷ 1.7 = 800
Amount collected from adult tickets on Tuesday
= 1 u x 36
= 800 x 36
= $28800
Amount collected from child tickets on Tuesday
= 9(1 u + 90)
= 9(800 + 90)
= 9 x 890
= $8010
Total amount collected on Tuesday
= 28800 + 8010
= $36810
Answer(s):$36810