At a theme park, each adult ticket cost $32 and each child ticket cost $6. On Saturday, the number of adult tickets sold was 120 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 35%. If a total of 837 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 120 |
2 u + 120 |
Change |
- 0.1 u |
+ 0.35 u + 42 |
|
After |
0.9 u |
1.35 u + 162 |
2.25 u + 162 |
10% x 1 u =
10100 x 1 u = 0.1 u
35% x 1 u =
35100 x 1 u = 0.35 u
35% x 120 =
35100 x 120 = 42
Number of tickets sold on Sunday
= 0.9 u + 1.35 u + 162
= 2.25 u + 162
2.25 u + 162 = 837
2.25 u = 837 - 162
2.25 u = 675
1 u = 675 ÷ 2.25 = 300
Amount collected from adult tickets on Saturday
= 1 u x 32
= 300 x 32
= $9600
Amount collected from child tickets on Saturday
= 6(1 u + 120)
= 6(300 + 120)
= 6 x 420
= $2520
Total amount collected on Saturday
= 9600 + 2520
= $12120
Answer(s):$12120