On Friday, 360 more men than women attended a concert. On Saturday, the number of men decreased by 20% and the number of women increased by 70%. 1488 audience attended the concert on Saturday. If each ticket cost $9, 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 |
360 more |
|
Before |
5x2 |
+ 360 |
10x1 |
Change |
- 1x2 |
- 72 |
+ 7x1 |
After |
4x2 |
+ 288 |
17x1 |
|
Men |
Women |
Before |
10 u + 360 |
10 u |
Change |
- 2 u - 72 |
+ 7 u |
After |
8 u + 288 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 360
=
20100 x 360
= 72
360 - 72 = 288
Total number of tickets sold on Saturday
= 8 u + 288 + 17 u
= 25 u + 288
25 u + 288 = 1488
25 u = 1488 - 288
25 u = 1200
1 u = 1200 ÷ 25 = 48
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 48
= 1296
Amount collected from the sale of concert tickets to all the women
= 1296 x 9
= $11664
Answer(s): $11664