On Friday, 700 more men than women attended a concert. On Saturday, the number of men decreased by 20% and the number of women increased by 70%. 885 audience attended the concert on Saturday. 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 |
700 more |
|
Before |
5x2 |
+ 700 |
10x1 |
Change |
- 1x2 |
- 140 |
+ 7x1 |
After |
4x2 |
+ 560 |
17x1 |
|
Men |
Women |
Before |
10 u + 700 |
10 u |
Change |
- 2 u - 140 |
+ 7 u |
After |
8 u + 560 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 700
=
20100 x 700
= 140
700 - 140 = 560
Total number of tickets sold on Saturday
= 8 u + 560 + 17 u
= 25 u + 560
25 u + 560 = 885
25 u = 885 - 560
25 u = 325
1 u = 325 ÷ 25 = 13
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 13
= 351
Amount collected from the sale of concert tickets to all the women
= 351 x 5
= $1755
Answer(s): $1755