At a stadium, each adult ticket cost $34 and each child ticket cost $11. On Monday, the number of adult tickets sold was 132 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 865 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 132 |
2 u + 132 |
Change |
- 0.5 u |
+ 0.25 u + 33 |
|
After |
0.5 u |
1.25 u + 165 |
1.75 u + 165 |
50% x 1 u =
50100 x 1 u = 0.5 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 132 =
25100 x 132 = 33
Number of tickets sold on Tuesday
= 0.5 u + 1.25 u + 165
= 1.75 u + 165
1.75 u + 165 = 865
1.75 u = 865 - 165
1.75 u = 700
1 u = 700 ÷ 1.75 = 400
Amount collected from adult tickets on Monday
= 1 u x 34
= 400 x 34
= $13600
Amount collected from child tickets on Monday
= 11(1 u + 132)
= 11(400 + 132)
= 11 x 532
= $5852
Total amount collected on Monday
= 13600 + 5852
= $19452
Answer(s):$19452