On Thursday, 750 more women than men attended a concert. On Friday, the number of women decreased by 20% and the number of men increased by 70%. 1350 audience attended the concert on Friday. If each ticket cost $14, 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 |
750 more |
|
Before |
5x2 |
+ 750 |
10x1 |
Change |
- 1x2 |
- 150 |
+ 7x1 |
After |
4x2 |
+ 600 |
17x1 |
|
Women |
Men |
Before |
10 u + 750 |
10 u |
Change |
- 2 u - 150 |
+ 7 u |
After |
8 u + 600 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 750
=
20100 x 750
= 150
750 - 150 = 600
Total number of tickets sold on Friday
= 8 u + 600 + 17 u
= 25 u + 600
25 u + 600 = 1350
25 u = 1350 - 600
25 u = 750
1 u = 750 ÷ 25 = 30
Total number of tickets sold to all the men
= 10 u + 17 u
= 27 u
= 27 x 30
= 810
Amount collected from the sale of concert tickets to all the men
= 810 x 14
= $11340
Answer(s): $11340