On Tuesday, 690 more men than women attended a concert. On Wednesday, the number of men decreased by 50% and the number of women increased by 70%. 873 audience attended the concert on Wednesday. If each ticket cost $13, 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 |
690 more |
|
Before |
2x5 |
+ 690 |
10x1 |
Change |
- 1x5 |
- 345 |
+ 7x1 |
After |
1x5 |
+ 345 |
17x1 |
|
Men |
Women |
Before |
10 u + 690 |
10 u |
Change |
- 5 u - 345 |
+ 7 u |
After |
5 u + 345 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 690
=
50100 x 690
= 345
690 - 345 = 345
Total number of tickets sold on Wednesday
= 5 u + 345 + 17 u
= 22 u + 345
22 u + 345 = 873
22 u = 873 - 345
22 u = 528
1 u = 528 ÷ 22 = 24
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 24
= 648
Amount collected from the sale of concert tickets to all the women
= 648 x 13
= $8424
Answer(s): $8424