On Tuesday, 730 more women than men attended a concert. On Wednesday, the number of women decreased by 50% and the number of men increased by 70%. 959 audience attended the concert on Wednesday. If each ticket cost $10, how much money was collected from the sale of concert tickets to all the men?
|
Women |
Men |
Comparing between the women and the men at first |
730 more |
|
Before |
2x5 |
+ 730 |
10x1 |
Change |
- 1x5 |
- 365 |
+ 7x1 |
After |
1x5 |
+ 365 |
17x1 |
|
Women |
Men |
Before |
10 u + 730 |
10 u |
Change |
- 5 u - 365 |
+ 7 u |
After |
5 u + 365 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 730
=
50100 x 730
= 365
730 - 365 = 365
Total number of tickets sold on Wednesday
= 5 u + 365 + 17 u
= 22 u + 365
22 u + 365 = 959
22 u = 959 - 365
22 u = 594
1 u = 594 ÷ 22 = 27
Total number of tickets sold to all the men
= 10 u + 17 u
= 27 u
= 27 x 27
= 729
Amount collected from the sale of concert tickets to all the men
= 729 x 10
= $7290
Answer(s): $7290