At a bird park, each adult ticket cost $21 and each child ticket cost $15. On Thursday, the number of adult tickets sold was 148 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 40% 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 + 148 |
2 u + 148 |
Change |
- 0.4 u |
+ 0.5 u + 74 |
|
After |
0.6 u |
1.5 u + 222 |
2.1 u + 222 |
40% x 1 u =
40100 x 1 u = 0.4 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 148 =
50100 x 148 = 74
Number of tickets sold on Friday
= 0.6 u + 1.5 u + 222
= 2.1 u + 222
2.1 u + 222 = 1692
2.1 u = 1692 - 222
2.1 u = 1470
1 u = 1470 ÷ 2.1 = 700
Amount collected from adult tickets on Thursday
= 1 u x 21
= 700 x 21
= $14700
Amount collected from child tickets on Thursday
= 15(1 u + 148)
= 15(700 + 148)
= 15 x 848
= $12720
Total amount collected on Thursday
= 14700 + 12720
= $27420
Answer(s):$27420