On Saturday, 660 more men than women attended a concert. On Sunday, the number of men decreased by 50% and the number of women increased by 80%. 583 audience attended the concert on Sunday. If each ticket cost $11, how much money was collected from the sale of concert tickets on Saturday?
|
Men |
Women |
Comparing between the men and the women at first |
660 more |
|
Before |
2x5 |
+ 660 |
5x2 |
Change |
- 1x5 |
- 330 |
+ 4x2 |
After |
1x5 |
+ 330 |
9x2 |
|
Men |
Women |
Before |
10 u + 660 |
10 u |
Change |
- 5 u - 330 |
+ 8 u |
After |
5 u + 330 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 660
=
50100 x 660
= 330
660 - 330 = 330
Total number of tickets sold on Sunday
= 5 u + 330 + 18 u
= 23 u + 330
23 u + 330 = 583
23 u = 583 - 330
23 u = 253
1 u = 253 ÷ 23 = 11
Total number of tickets sold on Saturday
= 10 u + 660 + 10 u
= 20 u + 660
= 20 x 11 + 330
= 550
Amount collected from the sale of concert tickets on Saturday
= 550 x 11
= $6050
Answer(s): $6050