At a tourist attraction, each adult ticket cost $21 and each child ticket cost $13. On Monday, the number of adult tickets sold was 72 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 50%. If a total of 568 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 72 |
2 u + 72 |
Change |
- 0.2 u |
+ 0.5 u + 36 |
|
After |
0.8 u |
1.5 u + 108 |
2.3 u + 108 |
20% x 1 u =
20100 x 1 u = 0.2 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 72 =
50100 x 72 = 36
Number of tickets sold on Tuesday
= 0.8 u + 1.5 u + 108
= 2.3 u + 108
2.3 u + 108 = 568
2.3 u = 568 - 108
2.3 u = 460
1 u = 460 ÷ 2.3 = 200
Amount collected from adult tickets on Monday
= 1 u x 21
= 200 x 21
= $4200
Amount collected from child tickets on Monday
= 13(1 u + 72)
= 13(200 + 72)
= 13 x 272
= $3536
Total amount collected on Monday
= 4200 + 3536
= $7736
Answer(s):$7736