At a park, each adult ticket cost $34 and each child ticket cost $7. On Friday, the number of adult tickets sold was 145 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 20%. If a total of 1049 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 145 |
2 u + 145 |
Change |
- 0.45 u |
+ 0.2 u + 29 |
|
After |
0.55 u |
1.2 u + 174 |
1.75 u + 174 |
45% x 1 u =
45100 x 1 u = 0.45 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 145 =
20100 x 145 = 29
Number of tickets sold on Saturday
= 0.55 u + 1.2 u + 174
= 1.75 u + 174
1.75 u + 174 = 1049
1.75 u = 1049 - 174
1.75 u = 875
1 u = 875 ÷ 1.75 = 500
Amount collected from adult tickets on Friday
= 1 u x 34
= 500 x 34
= $17000
Amount collected from child tickets on Friday
= 7(1 u + 145)
= 7(500 + 145)
= 7 x 645
= $4515
Total amount collected on Friday
= 17000 + 4515
= $21515
Answer(s):$21515