At a park, each adult ticket cost $31 and each child ticket cost $7. On Saturday, the number of adult tickets sold was 128 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 1952 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 128 |
2 u + 128 |
Change |
- 0.3 u |
+ 0.5 u + 64 |
|
After |
0.7 u |
1.5 u + 192 |
2.2 u + 192 |
30% x 1 u =
30100 x 1 u = 0.3 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 128 =
50100 x 128 = 64
Number of tickets sold on Sunday
= 0.7 u + 1.5 u + 192
= 2.2 u + 192
2.2 u + 192 = 1952
2.2 u = 1952 - 192
2.2 u = 1760
1 u = 1760 ÷ 2.2 = 800
Amount collected from adult tickets on Saturday
= 1 u x 31
= 800 x 31
= $24800
Amount collected from child tickets on Saturday
= 7(1 u + 128)
= 7(800 + 128)
= 7 x 928
= $6496
Total amount collected on Saturday
= 24800 + 6496
= $31296
Answer(s):$31296