At a park, each adult ticket cost $22 and each child ticket cost $5. On Monday, the number of adult tickets sold was 60 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 15%. If a total of 449 tickets were sold on Tuesday, how much money was collected on Monday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 60 |
2 u + 60 |
Change |
- 0.25 u |
+ 0.15 u + 9 |
|
After |
0.75 u |
1.15 u + 69 |
1.9 u + 69 |
25% x 1 u =
25100 x 1 u = 0.25 u
15% x 1 u =
15100 x 1 u = 0.15 u
15% x 60 =
15100 x 60 = 9
Number of tickets sold on Tuesday
= 0.75 u + 1.15 u + 69
= 1.9 u + 69
1.9 u + 69 = 449
1.9 u = 449 - 69
1.9 u = 380
1 u = 380 ÷ 1.9 = 200
Amount collected from adult tickets on Monday
= 1 u x 22
= 200 x 22
= $4400
Amount collected from child tickets on Monday
= 5(1 u + 60)
= 5(200 + 60)
= 5 x 260
= $1300
Total amount collected on Monday
= 4400 + 1300
= $5700
Answer(s):$5700