On Saturday, 340 more women than men attended a concert. On Sunday, the number of women decreased by 50% and the number of men increased by 70%. 984 audience attended the concert on Sunday. If each ticket cost $20, 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 |
340 more |
|
Before |
2x5 |
+ 340 |
10x1 |
Change |
- 1x5 |
- 170 |
+ 7x1 |
After |
1x5 |
+ 170 |
17x1 |
|
Women |
Men |
Before |
10 u + 340 |
10 u |
Change |
- 5 u - 170 |
+ 7 u |
After |
5 u + 170 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 340
=
50100 x 340
= 170
340 - 170 = 170
Total number of tickets sold on Sunday
= 5 u + 170 + 17 u
= 22 u + 170
22 u + 170 = 984
22 u = 984 - 170
22 u = 814
1 u = 814 ÷ 22 = 37
Total number of tickets sold to all the men
= 10 u + 17 u
= 27 u
= 27 x 37
= 999
Amount collected from the sale of concert tickets to all the men
= 999 x 20
= $19980
Answer(s): $19980