On Saturday, 440 more women than men attended a concert. On Sunday, the number of women decreased by 50% and the number of men increased by 70%. 792 audience attended the concert on Sunday. If each ticket cost $15, 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 |
440 more |
|
Before |
2x5 |
+ 440 |
10x1 |
Change |
- 1x5 |
- 220 |
+ 7x1 |
After |
1x5 |
+ 220 |
17x1 |
|
Women |
Men |
Before |
10 u + 440 |
10 u |
Change |
- 5 u - 220 |
+ 7 u |
After |
5 u + 220 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 440
=
50100 x 440
= 220
440 - 220 = 220
Total number of tickets sold on Sunday
= 5 u + 220 + 17 u
= 22 u + 220
22 u + 220 = 792
22 u = 792 - 220
22 u = 572
1 u = 572 ÷ 22 = 26
Total number of tickets sold to all the men
= 10 u + 17 u
= 27 u
= 27 x 26
= 702
Amount collected from the sale of concert tickets to all the men
= 702 x 15
= $10530
Answer(s): $10530