At a theme park, each adult ticket cost $32 and each child ticket cost $13. On Friday, the number of adult tickets sold was 160 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 40%. If a total of 664 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 160 |
2 u + 160 |
Change |
- 0.2 u |
+ 0.4 u + 64 |
|
After |
0.8 u |
1.4 u + 224 |
2.2 u + 224 |
20% x 1 u =
20100 x 1 u = 0.2 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 160 =
40100 x 160 = 64
Number of tickets sold on Saturday
= 0.8 u + 1.4 u + 224
= 2.2 u + 224
2.2 u + 224 = 664
2.2 u = 664 - 224
2.2 u = 440
1 u = 440 ÷ 2.2 = 200
Amount collected from adult tickets on Friday
= 1 u x 32
= 200 x 32
= $6400
Amount collected from child tickets on Friday
= 13(1 u + 160)
= 13(200 + 160)
= 13 x 360
= $4680
Total amount collected on Friday
= 6400 + 4680
= $11080
Answer(s):$11080