At a zoo, each adult ticket cost $38 and each child ticket cost $17. On Thursday, the number of adult tickets sold was 182 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 1953 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 182 |
2 u + 182 |
Change |
- 0.4 u |
+ 0.5 u + 91 |
|
After |
0.6 u |
1.5 u + 273 |
2.1 u + 273 |
40% x 1 u =
40100 x 1 u = 0.4 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 182 =
50100 x 182 = 91
Number of tickets sold on Friday
= 0.6 u + 1.5 u + 273
= 2.1 u + 273
2.1 u + 273 = 1953
2.1 u = 1953 - 273
2.1 u = 1680
1 u = 1680 ÷ 2.1 = 800
Amount collected from adult tickets on Thursday
= 1 u x 38
= 800 x 38
= $30400
Amount collected from child tickets on Thursday
= 17(1 u + 182)
= 17(800 + 182)
= 17 x 982
= $16694
Total amount collected on Thursday
= 30400 + 16694
= $47094
Answer(s):$47094