On Tuesday, 560 more women than men attended a concert. On Wednesday, the number of women decreased by 20% and the number of men increased by 70%. 1398 audience attended the concert on Wednesday. If each ticket cost $7, 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 |
560 more |
|
Before |
5x2 |
+ 560 |
10x1 |
Change |
- 1x2 |
- 112 |
+ 7x1 |
After |
4x2 |
+ 448 |
17x1 |
|
Women |
Men |
Before |
10 u + 560 |
10 u |
Change |
- 2 u - 112 |
+ 7 u |
After |
8 u + 448 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 560
=
20100 x 560
= 112
560 - 112 = 448
Total number of tickets sold on Wednesday
= 8 u + 448 + 17 u
= 25 u + 448
25 u + 448 = 1398
25 u = 1398 - 448
25 u = 950
1 u = 950 ÷ 25 = 38
Total number of tickets sold to all the men
= 10 u + 17 u
= 27 u
= 27 x 38
= 1026
Amount collected from the sale of concert tickets to all the men
= 1026 x 7
= $7182
Answer(s): $7182