At a theme park, each adult ticket cost $38 and each child ticket cost $10. On Saturday, the number of adult tickets sold was 180 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 5%. If a total of 1669 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 180 |
2 u + 180 |
Change |
- 0.2 u |
+ 0.05 u + 9 |
|
After |
0.8 u |
1.05 u + 189 |
1.85 u + 189 |
20% x 1 u =
20100 x 1 u = 0.2 u
5% x 1 u =
5100 x 1 u = 0.05 u
5% x 180 =
5100 x 180 = 9
Number of tickets sold on Sunday
= 0.8 u + 1.05 u + 189
= 1.85 u + 189
1.85 u + 189 = 1669
1.85 u = 1669 - 189
1.85 u = 1480
1 u = 1480 ÷ 1.85 = 800
Amount collected from adult tickets on Saturday
= 1 u x 38
= 800 x 38
= $30400
Amount collected from child tickets on Saturday
= 10(1 u + 180)
= 10(800 + 180)
= 10 x 980
= $9800
Total amount collected on Saturday
= 30400 + 9800
= $40200
Answer(s):$40200