On Tuesday, 370 more men than women attended a concert. On Wednesday, the number of men decreased by 50% and the number of women increased by 70%. 1087 audience attended the concert on Wednesday. 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 |
370 more |
|
Before |
2x5 |
+ 370 |
10x1 |
Change |
- 1x5 |
- 185 |
+ 7x1 |
After |
1x5 |
+ 185 |
17x1 |
|
Men |
Women |
Before |
10 u + 370 |
10 u |
Change |
- 5 u - 185 |
+ 7 u |
After |
5 u + 185 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 370
=
50100 x 370
= 185
370 - 185 = 185
Total number of tickets sold on Wednesday
= 5 u + 185 + 17 u
= 22 u + 185
22 u + 185 = 1087
22 u = 1087 - 185
22 u = 902
1 u = 902 ÷ 22 = 41
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 41
= 1107
Amount collected from the sale of concert tickets to all the women
= 1107 x 5
= $5535
Answer(s): $5535