At a zoo, each adult ticket cost $22 and each child ticket cost $18. On Thursday, the number of adult tickets sold was 50 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 765 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 50 |
2 u + 50 |
Change |
- 0.2 u |
+ 0.5 u + 25 |
|
After |
0.8 u |
1.5 u + 75 |
2.3 u + 75 |
20% x 1 u =
20100 x 1 u = 0.2 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 50 =
50100 x 50 = 25
Number of tickets sold on Friday
= 0.8 u + 1.5 u + 75
= 2.3 u + 75
2.3 u + 75 = 765
2.3 u = 765 - 75
2.3 u = 690
1 u = 690 ÷ 2.3 = 300
Amount collected from adult tickets on Thursday
= 1 u x 22
= 300 x 22
= $6600
Amount collected from child tickets on Thursday
= 18(1 u + 50)
= 18(300 + 50)
= 18 x 350
= $6300
Total amount collected on Thursday
= 6600 + 6300
= $12900
Answer(s):$12900