At a safari park, each adult ticket cost $34 and each child ticket cost $12. On Friday, the number of adult tickets sold was 200 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 50%. If a total of 1530 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 200 |
2 u + 200 |
Change |
- 0.45 u |
+ 0.5 u + 100 |
|
After |
0.55 u |
1.5 u + 300 |
2.05 u + 300 |
45% x 1 u =
45100 x 1 u = 0.45 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 200 =
50100 x 200 = 100
Number of tickets sold on Saturday
= 0.55 u + 1.5 u + 300
= 2.05 u + 300
2.05 u + 300 = 1530
2.05 u = 1530 - 300
2.05 u = 1230
1 u = 1230 ÷ 2.05 = 600
Amount collected from adult tickets on Friday
= 1 u x 34
= 600 x 34
= $20400
Amount collected from child tickets on Friday
= 12(1 u + 200)
= 12(600 + 200)
= 12 x 800
= $9600
Total amount collected on Friday
= 20400 + 9600
= $30000
Answer(s):$30000