On Wednesday, 390 more women than men attended a concert. On Thursday, the number of women decreased by 50% and the number of men increased by 70%. 877 audience attended the concert on Thursday. If each ticket cost $15, 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 |
390 more |
|
Before |
2x5 |
+ 390 |
10x1 |
Change |
- 1x5 |
- 195 |
+ 7x1 |
After |
1x5 |
+ 195 |
17x1 |
|
Women |
Men |
Before |
10 u + 390 |
10 u |
Change |
- 5 u - 195 |
+ 7 u |
After |
5 u + 195 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 390
=
50100 x 390
= 195
390 - 195 = 195
Total number of tickets sold on Thursday
= 5 u + 195 + 17 u
= 22 u + 195
22 u + 195 = 877
22 u = 877 - 195
22 u = 682
1 u = 682 ÷ 22 = 31
Total number of tickets sold to all the men
= 10 u + 17 u
= 27 u
= 27 x 31
= 837
Amount collected from the sale of concert tickets to all the men
= 837 x 15
= $12555
Answer(s): $12555