At a zoo, each adult ticket cost $26 and each child ticket cost $12. On Saturday, the number of adult tickets sold was 116 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 25%. If a total of 1465 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 116 |
2 u + 116 |
Change |
- 0.05 u |
+ 0.25 u + 29 |
|
After |
0.95 u |
1.25 u + 145 |
2.2 u + 145 |
5% x 1 u =
5100 x 1 u = 0.05 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 116 =
25100 x 116 = 29
Number of tickets sold on Sunday
= 0.95 u + 1.25 u + 145
= 2.2 u + 145
2.2 u + 145 = 1465
2.2 u = 1465 - 145
2.2 u = 1320
1 u = 1320 ÷ 2.2 = 600
Amount collected from adult tickets on Saturday
= 1 u x 26
= 600 x 26
= $15600
Amount collected from child tickets on Saturday
= 12(1 u + 116)
= 12(600 + 116)
= 12 x 716
= $8592
Total amount collected on Saturday
= 15600 + 8592
= $24192
Answer(s):$24192