On Wednesday, 760 more men than women attended a concert. On Thursday, the number of men decreased by 50% and the number of women increased by 70%. 688 audience attended the concert on Thursday. If each ticket cost $13, 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 |
760 more |
|
Before |
2x5 |
+ 760 |
10x1 |
Change |
- 1x5 |
- 380 |
+ 7x1 |
After |
1x5 |
+ 380 |
17x1 |
|
Men |
Women |
Before |
10 u + 760 |
10 u |
Change |
- 5 u - 380 |
+ 7 u |
After |
5 u + 380 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 760
=
50100 x 760
= 380
760 - 380 = 380
Total number of tickets sold on Thursday
= 5 u + 380 + 17 u
= 22 u + 380
22 u + 380 = 688
22 u = 688 - 380
22 u = 308
1 u = 308 ÷ 22 = 14
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 14
= 378
Amount collected from the sale of concert tickets to all the women
= 378 x 13
= $4914
Answer(s): $4914