At a concert hall, each adult ticket cost $30 and each child ticket cost $10. 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 35% while the number of child tickets sold increased by 20%. If a total of 1117 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 |
- 0.35 u |
+ 0.2 u + 32 |
|
After |
0.65 u |
1.2 u + 192 |
1.85 u + 192 |
35% x 1 u =
35100 x 1 u = 0.35 u
20% x 1 u =
20100 x 1 u = 0.2 u
20% x 160 =
20100 x 160 = 32
Number of tickets sold on Sunday
= 0.65 u + 1.2 u + 192
= 1.85 u + 192
1.85 u + 192 = 1117
1.85 u = 1117 - 192
1.85 u = 925
1 u = 925 ÷ 1.85 = 500
Amount collected from adult tickets on Saturday
= 1 u x 30
= 500 x 30
= $15000
Amount collected from child tickets on Saturday
= 10(1 u + 160)
= 10(500 + 160)
= 10 x 660
= $6600
Total amount collected on Saturday
= 15000 + 6600
= $21600
Answer(s):$21600