On Wednesday, 300 more men than women attended a concert. On Thursday, the number of men decreased by 20% and the number of women increased by 70%. 890 audience attended the concert on Thursday. If each ticket cost $16, 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 |
300 more |
|
Before |
5x2 |
+ 300 |
10x1 |
Change |
- 1x2 |
- 60 |
+ 7x1 |
After |
4x2 |
+ 240 |
17x1 |
|
Men |
Women |
Before |
10 u + 300 |
10 u |
Change |
- 2 u - 60 |
+ 7 u |
After |
8 u + 240 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 300
=
20100 x 300
= 60
300 - 60 = 240
Total number of tickets sold on Thursday
= 8 u + 240 + 17 u
= 25 u + 240
25 u + 240 = 890
25 u = 890 - 240
25 u = 650
1 u = 650 ÷ 25 = 26
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 26
= 702
Amount collected from the sale of concert tickets to all the women
= 702 x 16
= $11232
Answer(s): $11232