At a concert hall, each adult ticket cost $27 and each child ticket cost $16. On Friday, the number of adult tickets sold was 110 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 50%. If a total of 1085 tickets were sold on Saturday, how much money was collected on Friday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 110 |
2 u + 110 |
Change |
- 0.2 u |
+ 0.5 u + 55 |
|
After |
0.8 u |
1.5 u + 165 |
2.3 u + 165 |
20% x 1 u =
20100 x 1 u = 0.2 u
50% x 1 u =
50100 x 1 u = 0.5 u
50% x 110 =
50100 x 110 = 55
Number of tickets sold on Saturday
= 0.8 u + 1.5 u + 165
= 2.3 u + 165
2.3 u + 165 = 1085
2.3 u = 1085 - 165
2.3 u = 920
1 u = 920 ÷ 2.3 = 400
Amount collected from adult tickets on Friday
= 1 u x 27
= 400 x 27
= $10800
Amount collected from child tickets on Friday
= 16(1 u + 110)
= 16(400 + 110)
= 16 x 510
= $8160
Total amount collected on Friday
= 10800 + 8160
= $18960
Answer(s):$18960