On Friday, 370 more women than men attended a concert. On Saturday, the number of women decreased by 20% and the number of men increased by 70%. 521 audience attended the concert on Saturday. If each ticket cost $8, how much money was collected from the sale of concert tickets to all the men?
|
Women |
Men |
Comparing between the women and the men at first |
370 more |
|
Before |
5x2 |
+ 370 |
10x1 |
Change |
- 1x2 |
- 74 |
+ 7x1 |
After |
4x2 |
+ 296 |
17x1 |
|
Women |
Men |
Before |
10 u + 370 |
10 u |
Change |
- 2 u - 74 |
+ 7 u |
After |
8 u + 296 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 370
=
20100 x 370
= 74
370 - 74 = 296
Total number of tickets sold on Saturday
= 8 u + 296 + 17 u
= 25 u + 296
25 u + 296 = 521
25 u = 521 - 296
25 u = 225
1 u = 225 ÷ 25 = 9
Total number of tickets sold to all the men
= 10 u + 17 u
= 27 u
= 27 x 9
= 243
Amount collected from the sale of concert tickets to all the men
= 243 x 8
= $1944
Answer(s): $1944