At a theme park, each adult ticket cost $28 and each child ticket cost $5. On Friday, the number of adult tickets sold was 160 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 25%. If a total of 1760 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 160 |
2 u + 160 |
Change |
- 0.3 u |
+ 0.25 u + 40 |
|
After |
0.7 u |
1.25 u + 200 |
1.95 u + 200 |
30% x 1 u =
30100 x 1 u = 0.3 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 160 =
25100 x 160 = 40
Number of tickets sold on Saturday
= 0.7 u + 1.25 u + 200
= 1.95 u + 200
1.95 u + 200 = 1760
1.95 u = 1760 - 200
1.95 u = 1560
1 u = 1560 ÷ 1.95 = 800
Amount collected from adult tickets on Friday
= 1 u x 28
= 800 x 28
= $22400
Amount collected from child tickets on Friday
= 5(1 u + 160)
= 5(800 + 160)
= 5 x 960
= $4800
Total amount collected on Friday
= 22400 + 4800
= $27200
Answer(s):$27200