At a safari park, each adult ticket cost $40 and each child ticket cost $18. On Thursday, the number of adult tickets sold was 104 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 5% while the number of child tickets sold increased by 25%. If a total of 1230 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 104 |
2 u + 104 |
Change |
- 0.05 u |
+ 0.25 u + 26 |
|
After |
0.95 u |
1.25 u + 130 |
2.2 u + 130 |
5% x 1 u =
5100 x 1 u = 0.05 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 104 =
25100 x 104 = 26
Number of tickets sold on Friday
= 0.95 u + 1.25 u + 130
= 2.2 u + 130
2.2 u + 130 = 1230
2.2 u = 1230 - 130
2.2 u = 1100
1 u = 1100 ÷ 2.2 = 500
Amount collected from adult tickets on Thursday
= 1 u x 40
= 500 x 40
= $20000
Amount collected from child tickets on Thursday
= 18(1 u + 104)
= 18(500 + 104)
= 18 x 604
= $10872
Total amount collected on Thursday
= 20000 + 10872
= $30872
Answer(s):$30872