At a bird park, each adult ticket cost $27 and each child ticket cost $5. On Saturday, the number of adult tickets sold was 120 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 5%. If a total of 696 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 120 |
2 u + 120 |
Change |
- 0.15 u |
+ 0.05 u + 6 |
|
After |
0.85 u |
1.05 u + 126 |
1.9 u + 126 |
15% x 1 u =
15100 x 1 u = 0.15 u
5% x 1 u =
5100 x 1 u = 0.05 u
5% x 120 =
5100 x 120 = 6
Number of tickets sold on Sunday
= 0.85 u + 1.05 u + 126
= 1.9 u + 126
1.9 u + 126 = 696
1.9 u = 696 - 126
1.9 u = 570
1 u = 570 ÷ 1.9 = 300
Amount collected from adult tickets on Saturday
= 1 u x 27
= 300 x 27
= $8100
Amount collected from child tickets on Saturday
= 5(1 u + 120)
= 5(300 + 120)
= 5 x 420
= $2100
Total amount collected on Saturday
= 8100 + 2100
= $10200
Answer(s):$10200