At a bird park, each adult ticket cost $30 and each child ticket cost $14. On Thursday, the number of adult tickets sold was 80 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 40%. If a total of 1547 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 80 |
2 u + 80 |
Change |
- 0.35 u |
+ 0.4 u + 32 |
|
After |
0.65 u |
1.4 u + 112 |
2.05 u + 112 |
35% x 1 u =
35100 x 1 u = 0.35 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 80 =
40100 x 80 = 32
Number of tickets sold on Friday
= 0.65 u + 1.4 u + 112
= 2.05 u + 112
2.05 u + 112 = 1547
2.05 u = 1547 - 112
2.05 u = 1435
1 u = 1435 ÷ 2.05 = 700
Amount collected from adult tickets on Thursday
= 1 u x 30
= 700 x 30
= $21000
Amount collected from child tickets on Thursday
= 14(1 u + 80)
= 14(700 + 80)
= 14 x 780
= $10920
Total amount collected on Thursday
= 21000 + 10920
= $31920
Answer(s):$31920