At a tourist attraction, each adult ticket cost $38 and each child ticket cost $7. On Monday, the number of adult tickets sold was 200 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 25% while the number of child tickets sold increased by 50%. If a total of 1425 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 200 |
2 u + 200 |
Change |
- 0.25 u |
+ 0.5 u + 100 |
|
After |
0.75 u |
1.5 u + 300 |
2.25 u + 300 |
25% x 1 u =
25100 x 1 u = 0.25 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 200 =
50100 x 200 = 100
Number of tickets sold on Tuesday
= 0.75 u + 1.5 u + 300
= 2.25 u + 300
2.25 u + 300 = 1425
2.25 u = 1425 - 300
2.25 u = 1125
1 u = 1125 ÷ 2.25 = 500
Amount collected from adult tickets on Monday
= 1 u x 38
= 500 x 38
= $19000
Amount collected from child tickets on Monday
= 7(1 u + 200)
= 7(500 + 200)
= 7 x 700
= $4900
Total amount collected on Monday
= 19000 + 4900
= $23900
Answer(s):$23900