At a theme park, each adult ticket cost $34 and each child ticket cost $12. 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 25% while the number of child tickets sold increased by 50%. If a total of 1221 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 |
- 0.25 u |
+ 0.5 u + 32 |
|
After |
0.75 u |
1.5 u + 96 |
2.25 u + 96 |
25% x 1 u =
25100 x 1 u = 0.25 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 64 =
50100 x 64 = 32
Number of tickets sold on Tuesday
= 0.75 u + 1.5 u + 96
= 2.25 u + 96
2.25 u + 96 = 1221
2.25 u = 1221 - 96
2.25 u = 1125
1 u = 1125 ÷ 2.25 = 500
Amount collected from adult tickets on Monday
= 1 u x 34
= 500 x 34
= $17000
Amount collected from child tickets on Monday
= 12(1 u + 64)
= 12(500 + 64)
= 12 x 564
= $6768
Total amount collected on Monday
= 17000 + 6768
= $23768
Answer(s):$23768