On Saturday, 420 more women than men attended a concert. On Sunday, the number of women decreased by 50% and the number of men increased by 70%. 1200 audience attended the concert on Sunday. If each ticket cost $6, 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 |
420 more |
|
Before |
2x5 |
+ 420 |
10x1 |
Change |
- 1x5 |
- 210 |
+ 7x1 |
After |
1x5 |
+ 210 |
17x1 |
|
Women |
Men |
Before |
10 u + 420 |
10 u |
Change |
- 5 u - 210 |
+ 7 u |
After |
5 u + 210 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 420
=
50100 x 420
= 210
420 - 210 = 210
Total number of tickets sold on Sunday
= 5 u + 210 + 17 u
= 22 u + 210
22 u + 210 = 1200
22 u = 1200 - 210
22 u = 990
1 u = 990 ÷ 22 = 45
Total number of tickets sold to all the men
= 10 u + 17 u
= 27 u
= 27 x 45
= 1215
Amount collected from the sale of concert tickets to all the men
= 1215 x 6
= $7290
Answer(s): $7290