On Wednesday, 740 more men than women attended a concert. On Thursday, the number of men decreased by 20% and the number of women increased by 70%. 967 audience attended the concert on Thursday. If each ticket cost $5, 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 |
740 more |
|
Before |
5x2 |
+ 740 |
10x1 |
Change |
- 1x2 |
- 148 |
+ 7x1 |
After |
4x2 |
+ 592 |
17x1 |
|
Men |
Women |
Before |
10 u + 740 |
10 u |
Change |
- 2 u - 148 |
+ 7 u |
After |
8 u + 592 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 740
=
20100 x 740
= 148
740 - 148 = 592
Total number of tickets sold on Thursday
= 8 u + 592 + 17 u
= 25 u + 592
25 u + 592 = 967
25 u = 967 - 592
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 5
= $2025
Answer(s): $2025