At a theme park, each adult ticket cost $30 and each child ticket cost $8. On Friday, the number of adult tickets sold was 90 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 50%. If a total of 780 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 90 |
2 u + 90 |
Change |
- 0.35 u |
+ 0.5 u + 45 |
|
After |
0.65 u |
1.5 u + 135 |
2.15 u + 135 |
35% x 1 u =
35100 x 1 u = 0.35 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 90 =
50100 x 90 = 45
Number of tickets sold on Saturday
= 0.65 u + 1.5 u + 135
= 2.15 u + 135
2.15 u + 135 = 780
2.15 u = 780 - 135
2.15 u = 645
1 u = 645 ÷ 2.15 = 300
Amount collected from adult tickets on Friday
= 1 u x 30
= 300 x 30
= $9000
Amount collected from child tickets on Friday
= 8(1 u + 90)
= 8(300 + 90)
= 8 x 390
= $3120
Total amount collected on Friday
= 9000 + 3120
= $12120
Answer(s):$12120