At a park, each adult ticket cost $40 and each child ticket cost $9. On Thursday, the number of adult tickets sold was 95 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 40%. If a total of 1258 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 95 |
2 u + 95 |
Change |
- 0.15 u |
+ 0.4 u + 38 |
|
After |
0.85 u |
1.4 u + 133 |
2.25 u + 133 |
15% x 1 u =
15100 x 1 u = 0.15 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 95 =
40100 x 95 = 38
Number of tickets sold on Friday
= 0.85 u + 1.4 u + 133
= 2.25 u + 133
2.25 u + 133 = 1258
2.25 u = 1258 - 133
2.25 u = 1125
1 u = 1125 ÷ 2.25 = 500
Amount collected from adult tickets on Thursday
= 1 u x 40
= 500 x 40
= $20000
Amount collected from child tickets on Thursday
= 9(1 u + 95)
= 9(500 + 95)
= 9 x 595
= $5355
Total amount collected on Thursday
= 20000 + 5355
= $25355
Answer(s):$25355