At a theme park, each adult ticket cost $37 and each child ticket cost $17. On Tuesday, the number of adult tickets sold was 112 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 40% while the number of child tickets sold increased by 50%. If a total of 1848 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 112 |
2 u + 112 |
Change |
- 0.4 u |
+ 0.5 u + 56 |
|
After |
0.6 u |
1.5 u + 168 |
2.1 u + 168 |
40% x 1 u =
40100 x 1 u = 0.4 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 112 =
50100 x 112 = 56
Number of tickets sold on Wednesday
= 0.6 u + 1.5 u + 168
= 2.1 u + 168
2.1 u + 168 = 1848
2.1 u = 1848 - 168
2.1 u = 1680
1 u = 1680 ÷ 2.1 = 800
Amount collected from adult tickets on Tuesday
= 1 u x 37
= 800 x 37
= $29600
Amount collected from child tickets on Tuesday
= 17(1 u + 112)
= 17(800 + 112)
= 17 x 912
= $15504
Total amount collected on Tuesday
= 29600 + 15504
= $45104
Answer(s):$45104