At a tourist attraction, each adult ticket cost $25 and each child ticket cost $12. On Saturday, the number of adult tickets sold was 196 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 50%. If a total of 1674 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 196 |
2 u + 196 |
Change |
- 0.2 u |
+ 0.5 u + 98 |
|
After |
0.8 u |
1.5 u + 294 |
2.3 u + 294 |
20% x 1 u =
20100 x 1 u = 0.2 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 196 =
50100 x 196 = 98
Number of tickets sold on Sunday
= 0.8 u + 1.5 u + 294
= 2.3 u + 294
2.3 u + 294 = 1674
2.3 u = 1674 - 294
2.3 u = 1380
1 u = 1380 ÷ 2.3 = 600
Amount collected from adult tickets on Saturday
= 1 u x 25
= 600 x 25
= $15000
Amount collected from child tickets on Saturday
= 12(1 u + 196)
= 12(600 + 196)
= 12 x 796
= $9552
Total amount collected on Saturday
= 15000 + 9552
= $24552
Answer(s):$24552