At a theme park, each adult ticket cost $35 and each child ticket cost $14. On Friday, the number of adult tickets sold was 65 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 25% while the number of child tickets sold increased by 20%. If a total of 858 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 65 |
2 u + 65 |
Change |
- 0.25 u |
+ 0.2 u + 13 |
|
After |
0.75 u |
1.2 u + 78 |
1.95 u + 78 |
25% x 1 u =
25100 x 1 u = 0.25 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 65 =
20100 x 65 = 13
Number of tickets sold on Saturday
= 0.75 u + 1.2 u + 78
= 1.95 u + 78
1.95 u + 78 = 858
1.95 u = 858 - 78
1.95 u = 780
1 u = 780 ÷ 1.95 = 400
Amount collected from adult tickets on Friday
= 1 u x 35
= 400 x 35
= $14000
Amount collected from child tickets on Friday
= 14(1 u + 65)
= 14(400 + 65)
= 14 x 465
= $6510
Total amount collected on Friday
= 14000 + 6510
= $20510
Answer(s):$20510