At a theme park, each adult ticket cost $35 and each child ticket cost $15. On Wednesday, the number of adult tickets sold was 130 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 10%. If a total of 333 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 130 |
2 u + 130 |
Change |
- 0.2 u |
+ 0.1 u + 13 |
|
After |
0.8 u |
1.1 u + 143 |
1.9 u + 143 |
20% x 1 u =
20100 x 1 u = 0.2 u
10% x 1 u =
10100 x 1 u = 0.1 u
10% x 130 =
10100 x 130 = 13
Number of tickets sold on Thursday
= 0.8 u + 1.1 u + 143
= 1.9 u + 143
1.9 u + 143 = 333
1.9 u = 333 - 143
1.9 u = 190
1 u = 190 ÷ 1.9 = 100
Amount collected from adult tickets on Wednesday
= 1 u x 35
= 100 x 35
= $3500
Amount collected from child tickets on Wednesday
= 15(1 u + 130)
= 15(100 + 130)
= 15 x 230
= $3450
Total amount collected on Wednesday
= 3500 + 3450
= $6950
Answer(s):$6950