At a concert hall, each adult ticket cost $25 and each child ticket cost $13. On Thursday, the number of adult tickets sold was 145 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 40%. If a total of 1523 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 145 |
2 u + 145 |
Change |
- 0.2 u |
+ 0.4 u + 58 |
|
After |
0.8 u |
1.4 u + 203 |
2.2 u + 203 |
20% x 1 u =
20100 x 1 u = 0.2 u
40% x 1 u =
40100 x 1 u = 0.4 u
40% x 145 =
40100 x 145 = 58
Number of tickets sold on Friday
= 0.8 u + 1.4 u + 203
= 2.2 u + 203
2.2 u + 203 = 1523
2.2 u = 1523 - 203
2.2 u = 1320
1 u = 1320 ÷ 2.2 = 600
Amount collected from adult tickets on Thursday
= 1 u x 25
= 600 x 25
= $15000
Amount collected from child tickets on Thursday
= 13(1 u + 145)
= 13(600 + 145)
= 13 x 745
= $9685
Total amount collected on Thursday
= 15000 + 9685
= $24685
Answer(s):$24685