On Friday, 600 more men than women attended a concert. On Saturday, the number of men decreased by 50% and the number of women increased by 70%. 1202 audience attended the concert on Saturday. If each ticket cost $12, 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 |
600 more |
|
Before |
2x5 |
+ 600 |
10x1 |
Change |
- 1x5 |
- 300 |
+ 7x1 |
After |
1x5 |
+ 300 |
17x1 |
|
Men |
Women |
Before |
10 u + 600 |
10 u |
Change |
- 5 u - 300 |
+ 7 u |
After |
5 u + 300 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 600
=
50100 x 600
= 300
600 - 300 = 300
Total number of tickets sold on Saturday
= 5 u + 300 + 17 u
= 22 u + 300
22 u + 300 = 1202
22 u = 1202 - 300
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 12
= $13284
Answer(s): $13284