On Tuesday, 660 more men than women attended a concert. On Wednesday, the number of men decreased by 50% and the number of women increased by 70%. 616 audience attended the concert on Wednesday. If each ticket cost $17, 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 |
660 more |
|
Before |
2x5 |
+ 660 |
10x1 |
Change |
- 1x5 |
- 330 |
+ 7x1 |
After |
1x5 |
+ 330 |
17x1 |
|
Men |
Women |
Before |
10 u + 660 |
10 u |
Change |
- 5 u - 330 |
+ 7 u |
After |
5 u + 330 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 660
=
50100 x 660
= 330
660 - 330 = 330
Total number of tickets sold on Wednesday
= 5 u + 330 + 17 u
= 22 u + 330
22 u + 330 = 616
22 u = 616 - 330
22 u = 286
1 u = 286 ÷ 22 = 13
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 13
= 351
Amount collected from the sale of concert tickets to all the women
= 351 x 17
= $5967
Answer(s): $5967