On Wednesday, 610 more women than men attended a concert. On Thursday, the number of women decreased by 50% and the number of men increased by 70%. 1471 audience attended the concert on Thursday. If each ticket cost $19, 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 |
610 more |
|
Before |
2x5 |
+ 610 |
10x1 |
Change |
- 1x5 |
- 305 |
+ 7x1 |
After |
1x5 |
+ 305 |
17x1 |
|
Women |
Men |
Before |
10 u + 610 |
10 u |
Change |
- 5 u - 305 |
+ 7 u |
After |
5 u + 305 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 610
=
50100 x 610
= 305
610 - 305 = 305
Total number of tickets sold on Thursday
= 5 u + 305 + 17 u
= 22 u + 305
22 u + 305 = 1471
22 u = 1471 - 305
22 u = 1166
1 u = 1166 ÷ 22 = 53
Total number of tickets sold to all the men
= 10 u + 17 u
= 27 u
= 27 x 53
= 1431
Amount collected from the sale of concert tickets to all the men
= 1431 x 19
= $27189
Answer(s): $27189