At a bird park, each adult ticket cost $22 and each child ticket cost $16. On Thursday, the number of adult tickets sold was 122 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 50%. If a total of 1563 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 122 |
2 u + 122 |
Change |
- 0.2 u |
+ 0.5 u + 61 |
|
After |
0.8 u |
1.5 u + 183 |
2.3 u + 183 |
20% x 1 u =
20100 x 1 u = 0.2 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 122 =
50100 x 122 = 61
Number of tickets sold on Friday
= 0.8 u + 1.5 u + 183
= 2.3 u + 183
2.3 u + 183 = 1563
2.3 u = 1563 - 183
2.3 u = 1380
1 u = 1380 ÷ 2.3 = 600
Amount collected from adult tickets on Thursday
= 1 u x 22
= 600 x 22
= $13200
Amount collected from child tickets on Thursday
= 16(1 u + 122)
= 16(600 + 122)
= 16 x 722
= $11552
Total amount collected on Thursday
= 13200 + 11552
= $24752
Answer(s):$24752