At a safari park, each adult ticket cost $23 and each child ticket cost $6. On Wednesday, the number of adult tickets sold was 148 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 25%. If a total of 1805 tickets were sold on Thursday, how much money was collected on Wednesday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 148 |
2 u + 148 |
Change |
- 0.45 u |
+ 0.25 u + 37 |
|
After |
0.55 u |
1.25 u + 185 |
1.8 u + 185 |
45% x 1 u =
45100 x 1 u = 0.45 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 148 =
25100 x 148 = 37
Number of tickets sold on Thursday
= 0.55 u + 1.25 u + 185
= 1.8 u + 185
1.8 u + 185 = 1805
1.8 u = 1805 - 185
1.8 u = 1620
1 u = 1620 ÷ 1.8 = 900
Amount collected from adult tickets on Wednesday
= 1 u x 23
= 900 x 23
= $20700
Amount collected from child tickets on Wednesday
= 6(1 u + 148)
= 6(900 + 148)
= 6 x 1048
= $6288
Total amount collected on Wednesday
= 20700 + 6288
= $26988
Answer(s):$26988