At a zoo, each adult ticket cost $29 and each child ticket cost $10. On Tuesday, the number of adult tickets sold was 156 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 25%. If a total of 855 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 156 |
2 u + 156 |
Change |
- 0.05 u |
+ 0.25 u + 39 |
|
After |
0.95 u |
1.25 u + 195 |
2.2 u + 195 |
5% x 1 u =
5100 x 1 u = 0.05 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 156 =
25100 x 156 = 39
Number of tickets sold on Wednesday
= 0.95 u + 1.25 u + 195
= 2.2 u + 195
2.2 u + 195 = 855
2.2 u = 855 - 195
2.2 u = 660
1 u = 660 ÷ 2.2 = 300
Amount collected from adult tickets on Tuesday
= 1 u x 29
= 300 x 29
= $8700
Amount collected from child tickets on Tuesday
= 10(1 u + 156)
= 10(300 + 156)
= 10 x 456
= $4560
Total amount collected on Tuesday
= 8700 + 4560
= $13260
Answer(s):$13260