On Tuesday, 490 more men than women attended a concert. On Wednesday, the number of men decreased by 20% and the number of women increased by 70%. 717 audience attended the concert on Wednesday. If each ticket cost $18, how much money was collected from the sale of concert tickets to all the women?
|
Men |
Women |
Comparing between the men and the women at first |
490 more |
|
Before |
5x2 |
+ 490 |
10x1 |
Change |
- 1x2 |
- 98 |
+ 7x1 |
After |
4x2 |
+ 392 |
17x1 |
|
Men |
Women |
Before |
10 u + 490 |
10 u |
Change |
- 2 u - 98 |
+ 7 u |
After |
8 u + 392 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 490
=
20100 x 490
= 98
490 - 98 = 392
Total number of tickets sold on Wednesday
= 8 u + 392 + 17 u
= 25 u + 392
25 u + 392 = 717
25 u = 717 - 392
25 u = 325
1 u = 325 ÷ 25 = 13
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 13
= 351
Amount collected from the sale of concert tickets to all the women
= 351 x 18
= $6318
Answer(s): $6318