At a bird park, each adult ticket cost $24 and each child ticket cost $8. On Monday, the number of adult tickets sold was 106 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 50%. If a total of 369 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 106 |
2 u + 106 |
Change |
- 0.4 u |
+ 0.5 u + 53 |
|
After |
0.6 u |
1.5 u + 159 |
2.1 u + 159 |
40% x 1 u =
40100 x 1 u = 0.4 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 106 =
50100 x 106 = 53
Number of tickets sold on Tuesday
= 0.6 u + 1.5 u + 159
= 2.1 u + 159
2.1 u + 159 = 369
2.1 u = 369 - 159
2.1 u = 210
1 u = 210 ÷ 2.1 = 100
Amount collected from adult tickets on Monday
= 1 u x 24
= 100 x 24
= $2400
Amount collected from child tickets on Monday
= 8(1 u + 106)
= 8(100 + 106)
= 8 x 206
= $1648
Total amount collected on Monday
= 2400 + 1648
= $4048
Answer(s):$4048