On Saturday, 800 more men than women attended a concert. On Sunday, the number of men decreased by 50% and the number of women increased by 70%. 752 audience attended the concert on Sunday. If each ticket cost $11, 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 |
800 more |
|
Before |
2x5 |
+ 800 |
10x1 |
Change |
- 1x5 |
- 400 |
+ 7x1 |
After |
1x5 |
+ 400 |
17x1 |
|
Men |
Women |
Before |
10 u + 800 |
10 u |
Change |
- 5 u - 400 |
+ 7 u |
After |
5 u + 400 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 800
=
50100 x 800
= 400
800 - 400 = 400
Total number of tickets sold on Sunday
= 5 u + 400 + 17 u
= 22 u + 400
22 u + 400 = 752
22 u = 752 - 400
22 u = 352
1 u = 352 ÷ 22 = 16
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 16
= 432
Amount collected from the sale of concert tickets to all the women
= 432 x 11
= $4752
Answer(s): $4752