At a museum, each adult ticket cost $24 and each child ticket cost $15. On Monday, the number of adult tickets sold was 60 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 40% while the number of child tickets sold increased by 25%. If a total of 1555 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 60 |
2 u + 60 |
Change |
- 0.4 u |
+ 0.25 u + 15 |
|
After |
0.6 u |
1.25 u + 75 |
1.85 u + 75 |
40% x 1 u =
40100 x 1 u = 0.4 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 60 =
25100 x 60 = 15
Number of tickets sold on Tuesday
= 0.6 u + 1.25 u + 75
= 1.85 u + 75
1.85 u + 75 = 1555
1.85 u = 1555 - 75
1.85 u = 1480
1 u = 1480 ÷ 1.85 = 800
Amount collected from adult tickets on Monday
= 1 u x 24
= 800 x 24
= $19200
Amount collected from child tickets on Monday
= 15(1 u + 60)
= 15(800 + 60)
= 15 x 860
= $12900
Total amount collected on Monday
= 19200 + 12900
= $32100
Answer(s):$32100