At a museum, each adult ticket cost $24 and each child ticket cost $13. On Monday, the number of adult tickets sold was 64 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 25%. If a total of 1400 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 64 |
2 u + 64 |
Change |
- 0.05 u |
+ 0.25 u + 16 |
|
After |
0.95 u |
1.25 u + 80 |
2.2 u + 80 |
5% x 1 u =
5100 x 1 u = 0.05 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 64 =
25100 x 64 = 16
Number of tickets sold on Tuesday
= 0.95 u + 1.25 u + 80
= 2.2 u + 80
2.2 u + 80 = 1400
2.2 u = 1400 - 80
2.2 u = 1320
1 u = 1320 ÷ 2.2 = 600
Amount collected from adult tickets on Monday
= 1 u x 24
= 600 x 24
= $14400
Amount collected from child tickets on Monday
= 13(1 u + 64)
= 13(600 + 64)
= 13 x 664
= $8632
Total amount collected on Monday
= 14400 + 8632
= $23032
Answer(s):$23032