At a stadium, each adult ticket cost $28 and each child ticket cost $17. On Saturday, the number of adult tickets sold was 160 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 40% while the number of child tickets sold increased by 10%. If a total of 1536 tickets were sold on Sunday, how much money was collected on Saturday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 160 |
2 u + 160 |
Change |
- 0.4 u |
+ 0.1 u + 16 |
|
After |
0.6 u |
1.1 u + 176 |
1.7 u + 176 |
40% x 1 u =
40100 x 1 u = 0.4 u
10% x 1 u =
10100 x 1 u = 0.1 u
10% x 160 =
10100 x 160 = 16
Number of tickets sold on Sunday
= 0.6 u + 1.1 u + 176
= 1.7 u + 176
1.7 u + 176 = 1536
1.7 u = 1536 - 176
1.7 u = 1360
1 u = 1360 ÷ 1.7 = 800
Amount collected from adult tickets on Saturday
= 1 u x 28
= 800 x 28
= $22400
Amount collected from child tickets on Saturday
= 17(1 u + 160)
= 17(800 + 160)
= 17 x 960
= $16320
Total amount collected on Saturday
= 22400 + 16320
= $38720
Answer(s):$38720