At a bird park, each adult ticket cost $23 and each child ticket cost $10. On Friday, the number of adult tickets sold was 200 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 5%. If a total of 600 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 200 |
2 u + 200 |
Change |
- 0.1 u |
+ 0.05 u + 10 |
|
After |
0.9 u |
1.05 u + 210 |
1.95 u + 210 |
10% x 1 u =
10100 x 1 u = 0.1 u
5% x 1 u =
5100 x 1 u = 0.05 u
5% x 200 =
5100 x 200 = 10
Number of tickets sold on Saturday
= 0.9 u + 1.05 u + 210
= 1.95 u + 210
1.95 u + 210 = 600
1.95 u = 600 - 210
1.95 u = 390
1 u = 390 ÷ 1.95 = 200
Amount collected from adult tickets on Friday
= 1 u x 23
= 200 x 23
= $4600
Amount collected from child tickets on Friday
= 10(1 u + 200)
= 10(200 + 200)
= 10 x 400
= $4000
Total amount collected on Friday
= 4600 + 4000
= $8600
Answer(s):$8600