At a park, each adult ticket cost $28 and each child ticket cost $11. On Friday, the number of adult tickets sold was 196 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 50%. If a total of 1319 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 196 |
2 u + 196 |
Change |
- 0.45 u |
+ 0.5 u + 98 |
|
After |
0.55 u |
1.5 u + 294 |
2.05 u + 294 |
45% x 1 u =
45100 x 1 u = 0.45 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 196 =
50100 x 196 = 98
Number of tickets sold on Saturday
= 0.55 u + 1.5 u + 294
= 2.05 u + 294
2.05 u + 294 = 1319
2.05 u = 1319 - 294
2.05 u = 1025
1 u = 1025 ÷ 2.05 = 500
Amount collected from adult tickets on Friday
= 1 u x 28
= 500 x 28
= $14000
Amount collected from child tickets on Friday
= 11(1 u + 196)
= 11(500 + 196)
= 11 x 696
= $7656
Total amount collected on Friday
= 14000 + 7656
= $21656
Answer(s):$21656