At a zoo, each adult ticket cost $28 and each child ticket cost $14. On Wednesday, the number of adult tickets sold was 116 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 25% while the number of child tickets sold increased by 50%. If a total of 399 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 116 |
2 u + 116 |
Change |
- 0.25 u |
+ 0.5 u + 58 |
|
After |
0.75 u |
1.5 u + 174 |
2.25 u + 174 |
25% x 1 u =
25100 x 1 u = 0.25 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 116 =
50100 x 116 = 58
Number of tickets sold on Thursday
= 0.75 u + 1.5 u + 174
= 2.25 u + 174
2.25 u + 174 = 399
2.25 u = 399 - 174
2.25 u = 225
1 u = 225 ÷ 2.25 = 100
Amount collected from adult tickets on Wednesday
= 1 u x 28
= 100 x 28
= $2800
Amount collected from child tickets on Wednesday
= 14(1 u + 116)
= 14(100 + 116)
= 14 x 216
= $3024
Total amount collected on Wednesday
= 2800 + 3024
= $5824
Answer(s):$5824