On Friday, 330 more men than women attended a concert. On Saturday, the number of men decreased by 20% and the number of women increased by 70%. 1214 audience attended the concert on Saturday. If each ticket cost $16, 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 |
330 more |
|
Before |
5x2 |
+ 330 |
10x1 |
Change |
- 1x2 |
- 66 |
+ 7x1 |
After |
4x2 |
+ 264 |
17x1 |
|
Men |
Women |
Before |
10 u + 330 |
10 u |
Change |
- 2 u - 66 |
+ 7 u |
After |
8 u + 264 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 330
=
20100 x 330
= 66
330 - 66 = 264
Total number of tickets sold on Saturday
= 8 u + 264 + 17 u
= 25 u + 264
25 u + 264 = 1214
25 u = 1214 - 264
25 u = 950
1 u = 950 ÷ 25 = 38
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 38
= 1026
Amount collected from the sale of concert tickets to all the women
= 1026 x 16
= $16416
Answer(s): $16416