On Monday, 580 more women than men attended a concert. On Tuesday, the number of women decreased by 50% and the number of men increased by 70%. 576 audience attended the concert on Tuesday. If each ticket cost $13, 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 |
580 more |
|
Before |
2x5 |
+ 580 |
10x1 |
Change |
- 1x5 |
- 290 |
+ 7x1 |
After |
1x5 |
+ 290 |
17x1 |
|
Women |
Men |
Before |
10 u + 580 |
10 u |
Change |
- 5 u - 290 |
+ 7 u |
After |
5 u + 290 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 580
=
50100 x 580
= 290
580 - 290 = 290
Total number of tickets sold on Tuesday
= 5 u + 290 + 17 u
= 22 u + 290
22 u + 290 = 576
22 u = 576 - 290
22 u = 286
1 u = 286 ÷ 22 = 13
Total number of tickets sold to all the men
= 10 u + 17 u
= 27 u
= 27 x 13
= 351
Amount collected from the sale of concert tickets to all the men
= 351 x 13
= $4563
Answer(s): $4563