At a bird park, each adult ticket cost $26 and each child ticket cost $10. On Friday, the number of adult tickets sold was 142 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 50%. If a total of 1718 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 142 |
2 u + 142 |
Change |
- 0.35 u |
+ 0.5 u + 71 |
|
After |
0.65 u |
1.5 u + 213 |
2.15 u + 213 |
35% x 1 u =
35100 x 1 u = 0.35 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 142 =
50100 x 142 = 71
Number of tickets sold on Saturday
= 0.65 u + 1.5 u + 213
= 2.15 u + 213
2.15 u + 213 = 1718
2.15 u = 1718 - 213
2.15 u = 1505
1 u = 1505 ÷ 2.15 = 700
Amount collected from adult tickets on Friday
= 1 u x 26
= 700 x 26
= $18200
Amount collected from child tickets on Friday
= 10(1 u + 142)
= 10(700 + 142)
= 10 x 842
= $8420
Total amount collected on Friday
= 18200 + 8420
= $26620
Answer(s):$26620