At a bird park, each adult ticket cost $37 and each child ticket cost $9. On Saturday, the number of adult tickets sold was 75 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 20%. If a total of 1490 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 75 |
2 u + 75 |
Change |
- 0.45 u |
+ 0.2 u + 15 |
|
After |
0.55 u |
1.2 u + 90 |
1.75 u + 90 |
45% x 1 u =
45100 x 1 u = 0.45 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 75 =
20100 x 75 = 15
Number of tickets sold on Sunday
= 0.55 u + 1.2 u + 90
= 1.75 u + 90
1.75 u + 90 = 1490
1.75 u = 1490 - 90
1.75 u = 1400
1 u = 1400 ÷ 1.75 = 800
Amount collected from adult tickets on Saturday
= 1 u x 37
= 800 x 37
= $29600
Amount collected from child tickets on Saturday
= 9(1 u + 75)
= 9(800 + 75)
= 9 x 875
= $7875
Total amount collected on Saturday
= 29600 + 7875
= $37475
Answer(s):$37475