At a theme park, each adult ticket cost $30 and each child ticket cost $15. On Saturday, the number of adult tickets sold was 130 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 30%. If a total of 1219 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 130 |
2 u + 130 |
Change |
- 0.2 u |
+ 0.3 u + 39 |
|
After |
0.8 u |
1.3 u + 169 |
2.1 u + 169 |
20% x 1 u =
20100 x 1 u = 0.2 u
30% x 1 u =
30100 x 1 u = 0.3 u
30% x 130 =
30100 x 130 = 39
Number of tickets sold on Sunday
= 0.8 u + 1.3 u + 169
= 2.1 u + 169
2.1 u + 169 = 1219
2.1 u = 1219 - 169
2.1 u = 1050
1 u = 1050 ÷ 2.1 = 500
Amount collected from adult tickets on Saturday
= 1 u x 30
= 500 x 30
= $15000
Amount collected from child tickets on Saturday
= 15(1 u + 130)
= 15(500 + 130)
= 15 x 630
= $9450
Total amount collected on Saturday
= 15000 + 9450
= $24450
Answer(s):$24450