At a bird park, each adult ticket cost $39 and each child ticket cost $5. On Friday, the number of adult tickets sold was 104 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 50% while the number of child tickets sold increased by 25%. If a total of 1355 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 104 |
2 u + 104 |
Change |
- 0.5 u |
+ 0.25 u + 26 |
|
After |
0.5 u |
1.25 u + 130 |
1.75 u + 130 |
50% x 1 u =
50100 x 1 u = 0.5 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 104 =
25100 x 104 = 26
Number of tickets sold on Saturday
= 0.5 u + 1.25 u + 130
= 1.75 u + 130
1.75 u + 130 = 1355
1.75 u = 1355 - 130
1.75 u = 1225
1 u = 1225 ÷ 1.75 = 700
Amount collected from adult tickets on Friday
= 1 u x 39
= 700 x 39
= $27300
Amount collected from child tickets on Friday
= 5(1 u + 104)
= 5(700 + 104)
= 5 x 804
= $4020
Total amount collected on Friday
= 27300 + 4020
= $31320
Answer(s):$31320