At a theme park, each adult ticket cost $37 and each child ticket cost $5. On Friday, the number of adult tickets sold was 60 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 45%. If a total of 557 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 60 |
2 u + 60 |
Change |
- 0.1 u |
+ 0.45 u + 27 |
|
After |
0.9 u |
1.45 u + 87 |
2.35 u + 87 |
10% x 1 u =
10100 x 1 u = 0.1 u
45% x 1 u =
45100 x 1 u = 0.45 u
45% x 60 =
45100 x 60 = 27
Number of tickets sold on Saturday
= 0.9 u + 1.45 u + 87
= 2.35 u + 87
2.35 u + 87 = 557
2.35 u = 557 - 87
2.35 u = 470
1 u = 470 ÷ 2.35 = 200
Amount collected from adult tickets on Friday
= 1 u x 37
= 200 x 37
= $7400
Amount collected from child tickets on Friday
= 5(1 u + 60)
= 5(200 + 60)
= 5 x 260
= $1300
Total amount collected on Friday
= 7400 + 1300
= $8700
Answer(s):$8700