On Monday, 360 more men than women attended a concert. On Tuesday, the number of men decreased by 50% and the number of women increased by 70%. 884 audience attended the concert on Tuesday. If each ticket cost $7, 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 |
360 more |
|
Before |
2x5 |
+ 360 |
10x1 |
Change |
- 1x5 |
- 180 |
+ 7x1 |
After |
1x5 |
+ 180 |
17x1 |
|
Men |
Women |
Before |
10 u + 360 |
10 u |
Change |
- 5 u - 180 |
+ 7 u |
After |
5 u + 180 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 360
=
50100 x 360
= 180
360 - 180 = 180
Total number of tickets sold on Tuesday
= 5 u + 180 + 17 u
= 22 u + 180
22 u + 180 = 884
22 u = 884 - 180
22 u = 704
1 u = 704 ÷ 22 = 32
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 32
= 864
Amount collected from the sale of concert tickets to all the women
= 864 x 7
= $6048
Answer(s): $6048