At a bird park, each adult ticket cost $39 and each child ticket cost $5. On Friday, the number of adult tickets sold was 80 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 30% while the number of child tickets sold increased by 5%. If a total of 1309 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 80 |
2 u + 80 |
Change |
- 0.3 u |
+ 0.05 u + 4 |
|
After |
0.7 u |
1.05 u + 84 |
1.75 u + 84 |
30% x 1 u =
30100 x 1 u = 0.3 u
5% x 1 u =
5100 x 1 u = 0.05 u
5% x 80 =
5100 x 80 = 4
Number of tickets sold on Saturday
= 0.7 u + 1.05 u + 84
= 1.75 u + 84
1.75 u + 84 = 1309
1.75 u = 1309 - 84
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 + 80)
= 5(700 + 80)
= 5 x 780
= $3900
Total amount collected on Friday
= 27300 + 3900
= $31200
Answer(s):$31200