On Monday, 460 more men than women attended a concert. On Tuesday, the number of men decreased by 50% and the number of women increased by 70%. 560 audience attended the concert on Tuesday. If each ticket cost $5, 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 |
460 more |
|
Before |
2x5 |
+ 460 |
10x1 |
Change |
- 1x5 |
- 230 |
+ 7x1 |
After |
1x5 |
+ 230 |
17x1 |
|
Men |
Women |
Before |
10 u + 460 |
10 u |
Change |
- 5 u - 230 |
+ 7 u |
After |
5 u + 230 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 460
=
50100 x 460
= 230
460 - 230 = 230
Total number of tickets sold on Tuesday
= 5 u + 230 + 17 u
= 22 u + 230
22 u + 230 = 560
22 u = 560 - 230
22 u = 330
1 u = 330 ÷ 22 = 15
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 15
= 405
Amount collected from the sale of concert tickets to all the women
= 405 x 5
= $2025
Answer(s): $2025