At a bird park, each adult ticket cost $34 and each child ticket cost $8. On Friday, the number of adult tickets sold was 92 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 25%. If a total of 1165 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 92 |
2 u + 92 |
Change |
- 0.15 u |
+ 0.25 u + 23 |
|
After |
0.85 u |
1.25 u + 115 |
2.1 u + 115 |
15% x 1 u =
15100 x 1 u = 0.15 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 92 =
25100 x 92 = 23
Number of tickets sold on Saturday
= 0.85 u + 1.25 u + 115
= 2.1 u + 115
2.1 u + 115 = 1165
2.1 u = 1165 - 115
2.1 u = 1050
1 u = 1050 ÷ 2.1 = 500
Amount collected from adult tickets on Friday
= 1 u x 34
= 500 x 34
= $17000
Amount collected from child tickets on Friday
= 8(1 u + 92)
= 8(500 + 92)
= 8 x 592
= $4736
Total amount collected on Friday
= 17000 + 4736
= $21736
Answer(s):$21736