At a bird park, each adult ticket cost $37 and each child ticket cost $6. On Saturday, the number of adult tickets sold was 100 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 50%. If a total of 795 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 100 |
2 u + 100 |
Change |
- 0.35 u |
+ 0.5 u + 50 |
|
After |
0.65 u |
1.5 u + 150 |
2.15 u + 150 |
35% x 1 u =
35100 x 1 u = 0.35 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 100 =
50100 x 100 = 50
Number of tickets sold on Sunday
= 0.65 u + 1.5 u + 150
= 2.15 u + 150
2.15 u + 150 = 795
2.15 u = 795 - 150
2.15 u = 645
1 u = 645 ÷ 2.15 = 300
Amount collected from adult tickets on Saturday
= 1 u x 37
= 300 x 37
= $11100
Amount collected from child tickets on Saturday
= 6(1 u + 100)
= 6(300 + 100)
= 6 x 400
= $2400
Total amount collected on Saturday
= 11100 + 2400
= $13500
Answer(s):$13500