On Wednesday, 640 more men than women attended a concert. On Thursday, the number of men decreased by 20% and the number of women increased by 70%. 1112 audience attended the concert on Thursday. If each ticket cost $18, 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 |
640 more |
|
Before |
5x2 |
+ 640 |
10x1 |
Change |
- 1x2 |
- 128 |
+ 7x1 |
After |
4x2 |
+ 512 |
17x1 |
|
Men |
Women |
Before |
10 u + 640 |
10 u |
Change |
- 2 u - 128 |
+ 7 u |
After |
8 u + 512 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 640
=
20100 x 640
= 128
640 - 128 = 512
Total number of tickets sold on Thursday
= 8 u + 512 + 17 u
= 25 u + 512
25 u + 512 = 1112
25 u = 1112 - 512
25 u = 600
1 u = 600 ÷ 25 = 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 18
= $11664
Answer(s): $11664