At a park, each adult ticket cost $36 and each child ticket cost $6. On Tuesday, the number of adult tickets sold was 98 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 25% while the number of child tickets sold increased by 50%. If a total of 2172 tickets were sold on Wednesday, how much money was collected on Tuesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 98 |
2 u + 98 |
Change |
- 0.25 u |
+ 0.5 u + 49 |
|
After |
0.75 u |
1.5 u + 147 |
2.25 u + 147 |
25% x 1 u =
25100 x 1 u = 0.25 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 98 =
50100 x 98 = 49
Number of tickets sold on Wednesday
= 0.75 u + 1.5 u + 147
= 2.25 u + 147
2.25 u + 147 = 2172
2.25 u = 2172 - 147
2.25 u = 2025
1 u = 2025 ÷ 2.25 = 900
Amount collected from adult tickets on Tuesday
= 1 u x 36
= 900 x 36
= $32400
Amount collected from child tickets on Tuesday
= 6(1 u + 98)
= 6(900 + 98)
= 6 x 998
= $5988
Total amount collected on Tuesday
= 32400 + 5988
= $38388
Answer(s):$38388