On Saturday, 420 more women than men attended a concert. On Sunday, the number of women decreased by 20% and the number of men increased by 70%. 636 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 |
5x2 |
+ 420 |
10x1 |
Change |
- 1x2 |
- 84 |
+ 7x1 |
After |
4x2 |
+ 336 |
17x1 |
|
Women |
Men |
Before |
10 u + 420 |
10 u |
Change |
- 2 u - 84 |
+ 7 u |
After |
8 u + 336 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 420
=
20100 x 420
= 84
420 - 84 = 336
Total number of tickets sold on Sunday
= 8 u + 336 + 17 u
= 25 u + 336
25 u + 336 = 636
25 u = 636 - 336
25 u = 300
1 u = 300 ÷ 25 = 12
Total number of tickets sold to all the men
= 10 u + 17 u
= 27 u
= 27 x 12
= 324
Amount collected from the sale of concert tickets to all the men
= 324 x 6
= $1944
Answer(s): $1944