On Saturday, 710 more men than women attended a concert. On Sunday, the number of men decreased by 50% and the number of women increased by 70%. 531 audience attended the concert on Sunday. 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 |
710 more |
|
Before |
2x5 |
+ 710 |
10x1 |
Change |
- 1x5 |
- 355 |
+ 7x1 |
After |
1x5 |
+ 355 |
17x1 |
|
Men |
Women |
Before |
10 u + 710 |
10 u |
Change |
- 5 u - 355 |
+ 7 u |
After |
5 u + 355 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 710
=
50100 x 710
= 355
710 - 355 = 355
Total number of tickets sold on Sunday
= 5 u + 355 + 17 u
= 22 u + 355
22 u + 355 = 531
22 u = 531 - 355
22 u = 176
1 u = 176 ÷ 22 = 8
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 8
= 216
Amount collected from the sale of concert tickets to all the women
= 216 x 8
= $1728
Answer(s): $1728