On Wednesday, 400 more men than women attended a concert. On Thursday, the number of men decreased by 50% and the number of women increased by 70%. 1234 audience attended the concert on Thursday. If each ticket cost $8, how much money was collected from the sale of concert tickets to all the women?
|
Men |
Women |
Comparing between the men and the women at first |
400 more |
|
Before |
2x5 |
+ 400 |
10x1 |
Change |
- 1x5 |
- 200 |
+ 7x1 |
After |
1x5 |
+ 200 |
17x1 |
|
Men |
Women |
Before |
10 u + 400 |
10 u |
Change |
- 5 u - 200 |
+ 7 u |
After |
5 u + 200 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 400
=
50100 x 400
= 200
400 - 200 = 200
Total number of tickets sold on Thursday
= 5 u + 200 + 17 u
= 22 u + 200
22 u + 200 = 1234
22 u = 1234 - 200
22 u = 1034
1 u = 1034 ÷ 22 = 47
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 47
= 1269
Amount collected from the sale of concert tickets to all the women
= 1269 x 8
= $10152
Answer(s): $10152