At a park, each adult ticket cost $35 and each child ticket cost $12. On Friday, the number of adult tickets sold was 170 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 50%. If a total of 2325 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 170 |
2 u + 170 |
Change |
- 0.2 u |
+ 0.5 u + 85 |
|
After |
0.8 u |
1.5 u + 255 |
2.3 u + 255 |
20% x 1 u =
20100 x 1 u = 0.2 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 170 =
50100 x 170 = 85
Number of tickets sold on Saturday
= 0.8 u + 1.5 u + 255
= 2.3 u + 255
2.3 u + 255 = 2325
2.3 u = 2325 - 255
2.3 u = 2070
1 u = 2070 ÷ 2.3 = 900
Amount collected from adult tickets on Friday
= 1 u x 35
= 900 x 35
= $31500
Amount collected from child tickets on Friday
= 12(1 u + 170)
= 12(900 + 170)
= 12 x 1070
= $12840
Total amount collected on Friday
= 31500 + 12840
= $44340
Answer(s):$44340