At a park, each adult ticket cost $25 and each child ticket cost $8. On Monday, the number of adult tickets sold was 104 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 25%. If a total of 1270 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 104 |
2 u + 104 |
Change |
- 0.35 u |
+ 0.25 u + 26 |
|
After |
0.65 u |
1.25 u + 130 |
1.9 u + 130 |
35% x 1 u =
35100 x 1 u = 0.35 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 104 =
25100 x 104 = 26
Number of tickets sold on Tuesday
= 0.65 u + 1.25 u + 130
= 1.9 u + 130
1.9 u + 130 = 1270
1.9 u = 1270 - 130
1.9 u = 1140
1 u = 1140 ÷ 1.9 = 600
Amount collected from adult tickets on Monday
= 1 u x 25
= 600 x 25
= $15000
Amount collected from child tickets on Monday
= 8(1 u + 104)
= 8(600 + 104)
= 8 x 704
= $5632
Total amount collected on Monday
= 15000 + 5632
= $20632
Answer(s):$20632