On Saturday, 760 more women than men attended a concert. On Sunday, the number of women decreased by 20% and the number of men increased by 70%. 1383 audience attended the concert on Sunday. If each ticket cost $10, 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 |
760 more |
|
Before |
5x2 |
+ 760 |
10x1 |
Change |
- 1x2 |
- 152 |
+ 7x1 |
After |
4x2 |
+ 608 |
17x1 |
|
Women |
Men |
Before |
10 u + 760 |
10 u |
Change |
- 2 u - 152 |
+ 7 u |
After |
8 u + 608 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 760
=
20100 x 760
= 152
760 - 152 = 608
Total number of tickets sold on Sunday
= 8 u + 608 + 17 u
= 25 u + 608
25 u + 608 = 1383
25 u = 1383 - 608
25 u = 775
1 u = 775 ÷ 25 = 31
Total number of tickets sold to all the men
= 10 u + 17 u
= 27 u
= 27 x 31
= 837
Amount collected from the sale of concert tickets to all the men
= 837 x 10
= $8370
Answer(s): $8370