On Wednesday, 480 more women than men attended a concert. On Thursday, the number of women decreased by 20% and the number of men increased by 70%. 509 audience attended the concert on Thursday. If each ticket cost $10, 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 |
480 more |
|
Before |
5x2 |
+ 480 |
10x1 |
Change |
- 1x2 |
- 96 |
+ 7x1 |
After |
4x2 |
+ 384 |
17x1 |
|
Women |
Men |
Before |
10 u + 480 |
10 u |
Change |
- 2 u - 96 |
+ 7 u |
After |
8 u + 384 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 480
=
20100 x 480
= 96
480 - 96 = 384
Total number of tickets sold on Thursday
= 8 u + 384 + 17 u
= 25 u + 384
25 u + 384 = 509
25 u = 509 - 384
25 u = 125
1 u = 125 ÷ 25 = 5
Total number of tickets sold to all the men
= 10 u + 17 u
= 27 u
= 27 x 5
= 135
Amount collected from the sale of concert tickets to all the men
= 135 x 10
= $1350
Answer(s): $1350