At a tourist attraction, each adult ticket cost $32 and each child ticket cost $10. On Saturday, the number of adult tickets sold was 74 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 50%. If a total of 771 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 74 |
2 u + 74 |
Change |
- 0.3 u |
+ 0.5 u + 37 |
|
After |
0.7 u |
1.5 u + 111 |
2.2 u + 111 |
30% x 1 u =
30100 x 1 u = 0.3 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 74 =
50100 x 74 = 37
Number of tickets sold on Sunday
= 0.7 u + 1.5 u + 111
= 2.2 u + 111
2.2 u + 111 = 771
2.2 u = 771 - 111
2.2 u = 660
1 u = 660 ÷ 2.2 = 300
Amount collected from adult tickets on Saturday
= 1 u x 32
= 300 x 32
= $9600
Amount collected from child tickets on Saturday
= 10(1 u + 74)
= 10(300 + 74)
= 10 x 374
= $3740
Total amount collected on Saturday
= 9600 + 3740
= $13340
Answer(s):$13340