At a bird park, each adult ticket cost $40 and each child ticket cost $13. On Thursday, the number of adult tickets sold was 168 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 50%. If a total of 1692 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 168 |
2 u + 168 |
Change |
- 0.1 u |
+ 0.5 u + 84 |
|
After |
0.9 u |
1.5 u + 252 |
2.4 u + 252 |
10% x 1 u =
10100 x 1 u = 0.1 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 168 =
50100 x 168 = 84
Number of tickets sold on Friday
= 0.9 u + 1.5 u + 252
= 2.4 u + 252
2.4 u + 252 = 1692
2.4 u = 1692 - 252
2.4 u = 1440
1 u = 1440 ÷ 2.4 = 600
Amount collected from adult tickets on Thursday
= 1 u x 40
= 600 x 40
= $24000
Amount collected from child tickets on Thursday
= 13(1 u + 168)
= 13(600 + 168)
= 13 x 768
= $9984
Total amount collected on Thursday
= 24000 + 9984
= $33984
Answer(s):$33984