On Monday, 720 more men than women attended a concert. On Tuesday, the number of men decreased by 50% and the number of women increased by 70%. 1042 audience attended the concert on Tuesday. 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 |
720 more |
|
Before |
2x5 |
+ 720 |
10x1 |
Change |
- 1x5 |
- 360 |
+ 7x1 |
After |
1x5 |
+ 360 |
17x1 |
|
Men |
Women |
Before |
10 u + 720 |
10 u |
Change |
- 5 u - 360 |
+ 7 u |
After |
5 u + 360 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 720
=
50100 x 720
= 360
720 - 360 = 360
Total number of tickets sold on Tuesday
= 5 u + 360 + 17 u
= 22 u + 360
22 u + 360 = 1042
22 u = 1042 - 360
22 u = 682
1 u = 682 ÷ 22 = 31
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 31
= 837
Amount collected from the sale of concert tickets to all the women
= 837 x 11
= $9207
Answer(s): $9207