At a bird park, each adult ticket cost $32 and each child ticket cost $15. 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 50% while the number of child tickets sold increased by 25%. If a total of 1140 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 |
- 0.5 u |
+ 0.25 u + 18 |
|
After |
0.5 u |
1.25 u + 90 |
1.75 u + 90 |
50% x 1 u =
50100 x 1 u = 0.5 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 72 =
25100 x 72 = 18
Number of tickets sold on Tuesday
= 0.5 u + 1.25 u + 90
= 1.75 u + 90
1.75 u + 90 = 1140
1.75 u = 1140 - 90
1.75 u = 1050
1 u = 1050 ÷ 1.75 = 600
Amount collected from adult tickets on Monday
= 1 u x 32
= 600 x 32
= $19200
Amount collected from child tickets on Monday
= 15(1 u + 72)
= 15(600 + 72)
= 15 x 672
= $10080
Total amount collected on Monday
= 19200 + 10080
= $29280
Answer(s):$29280