On Wednesday, 560 more women than men attended a concert. On Thursday, the number of women decreased by 10% and the number of men increased by 50%. 1296 audience attended the concert on Thursday. If each ticket cost $8, how much money was collected from the sale of concert tickets for the two days?
|
Women |
Men |
Comparing between the women and the men at first |
560 more |
|
Before |
10x1 |
+ 560 |
2x5 |
Change |
- 1x1 |
- 56 |
+ 1x5 |
After |
9x1 |
+ 504 |
3x5 |
|
Women |
Men |
Before |
10 u + 560 |
10 u |
Change |
- 1 u - 56 |
+ 5 u |
After |
9 u + 504 |
15 u |
10% =
10100 =
110 50% =
50100 =
12 10% x 560
=
10100 x 560
= 56
560 - 56 = 504
Total number of tickets sold on Thursday
= 9 u + 504 + 15 u
= 24 u + 504
24 u + 504 = 1296
24 u = 1296 - 504
24 u = 792
1 u = 792 ÷ 24 = 33
Total number of tickets sold for the two days
= (10 u + 560) + 10 u + (9 u + 504) + 15 u
= 44 u + 1064
= 44 x 33 + 1064
= 2516
Amount collected from the sale of concert tickets for the two days
= 2516 x 8
= $20128
Answer(s): $20128