On Wednesday, 770 more men than women attended a concert. On Thursday, the number of men decreased by 20% and the number of women increased by 70%. 991 audience attended the concert on Thursday. If each ticket cost $10, 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 |
770 more |
|
Before |
5x2 |
+ 770 |
10x1 |
Change |
- 1x2 |
- 154 |
+ 7x1 |
After |
4x2 |
+ 616 |
17x1 |
|
Men |
Women |
Before |
10 u + 770 |
10 u |
Change |
- 2 u - 154 |
+ 7 u |
After |
8 u + 616 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 770
=
20100 x 770
= 154
770 - 154 = 616
Total number of tickets sold on Thursday
= 8 u + 616 + 17 u
= 25 u + 616
25 u + 616 = 991
25 u = 991 - 616
25 u = 375
1 u = 375 ÷ 25 = 15
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 15
= 405
Amount collected from the sale of concert tickets to all the women
= 405 x 10
= $4050
Answer(s): $4050