On Wednesday, 400 more women than men attended a concert. On Thursday, the number of women decreased by 20% and the number of men increased by 70%. 970 audience attended the concert on Thursday. If each ticket cost $9, 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 |
400 more |
|
Before |
5x2 |
+ 400 |
10x1 |
Change |
- 1x2 |
- 80 |
+ 7x1 |
After |
4x2 |
+ 320 |
17x1 |
|
Women |
Men |
Before |
10 u + 400 |
10 u |
Change |
- 2 u - 80 |
+ 7 u |
After |
8 u + 320 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 400
=
20100 x 400
= 80
400 - 80 = 320
Total number of tickets sold on Thursday
= 8 u + 320 + 17 u
= 25 u + 320
25 u + 320 = 970
25 u = 970 - 320
25 u = 650
1 u = 650 ÷ 25 = 26
Total number of tickets sold to all the men
= 10 u + 17 u
= 27 u
= 27 x 26
= 702
Amount collected from the sale of concert tickets to all the men
= 702 x 9
= $6318
Answer(s): $6318