At a theme park, each adult ticket cost $23 and each child ticket cost $9. On Friday, the number of adult tickets sold was 120 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 40% while the number of child tickets sold increased by 10%. If a total of 812 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 120 |
2 u + 120 |
Change |
- 0.4 u |
+ 0.1 u + 12 |
|
After |
0.6 u |
1.1 u + 132 |
1.7 u + 132 |
40% x 1 u =
40100 x 1 u = 0.4 u
10% x 1 u =
10100 x 1 u = 0.1 u
10% x 120 =
10100 x 120 = 12
Number of tickets sold on Saturday
= 0.6 u + 1.1 u + 132
= 1.7 u + 132
1.7 u + 132 = 812
1.7 u = 812 - 132
1.7 u = 680
1 u = 680 ÷ 1.7 = 400
Amount collected from adult tickets on Friday
= 1 u x 23
= 400 x 23
= $9200
Amount collected from child tickets on Friday
= 9(1 u + 120)
= 9(400 + 120)
= 9 x 520
= $4680
Total amount collected on Friday
= 9200 + 4680
= $13880
Answer(s):$13880