At a theme park, each adult ticket cost $28 and each child ticket cost $18. On Friday, the number of adult tickets sold was 168 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 25%. If a total of 650 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 168 |
2 u + 168 |
Change |
- 0.05 u |
+ 0.25 u + 42 |
|
After |
0.95 u |
1.25 u + 210 |
2.2 u + 210 |
5% x 1 u =
5100 x 1 u = 0.05 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 168 =
25100 x 168 = 42
Number of tickets sold on Saturday
= 0.95 u + 1.25 u + 210
= 2.2 u + 210
2.2 u + 210 = 650
2.2 u = 650 - 210
2.2 u = 440
1 u = 440 ÷ 2.2 = 200
Amount collected from adult tickets on Friday
= 1 u x 28
= 200 x 28
= $5600
Amount collected from child tickets on Friday
= 18(1 u + 168)
= 18(200 + 168)
= 18 x 368
= $6624
Total amount collected on Friday
= 5600 + 6624
= $12224
Answer(s):$12224