At a theme park, each adult ticket cost $24 and each child ticket cost $10. 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 25% while the number of child tickets sold increased by 50%. If a total of 618 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 |
- 0.25 u |
+ 0.5 u + 56 |
|
After |
0.75 u |
1.5 u + 168 |
2.25 u + 168 |
25% x 1 u =
25100 x 1 u = 0.25 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
= 0.75 u + 1.5 u + 168
= 2.25 u + 168
2.25 u + 168 = 618
2.25 u = 618 - 168
2.25 u = 450
1 u = 450 ÷ 2.25 = 200
Amount collected from adult tickets on Tuesday
= 1 u x 24
= 200 x 24
= $4800
Amount collected from child tickets on Tuesday
= 10(1 u + 112)
= 10(200 + 112)
= 10 x 312
= $3120
Total amount collected on Tuesday
= 4800 + 3120
= $7920
Answer(s):$7920