On Tuesday, 360 more men than women attended a concert. On Wednesday, the number of men decreased by 50% and the number of women increased by 80%. 801 audience attended the concert on Wednesday. If each ticket cost $20, how much money was collected from the sale of concert tickets on Tuesday?
|
Men |
Women |
Comparing between the men and the women at first |
360 more |
|
Before |
2x5 |
+ 360 |
5x2 |
Change |
- 1x5 |
- 180 |
+ 4x2 |
After |
1x5 |
+ 180 |
9x2 |
|
Men |
Women |
Before |
10 u + 360 |
10 u |
Change |
- 5 u - 180 |
+ 8 u |
After |
5 u + 180 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 360
=
50100 x 360
= 180
360 - 180 = 180
Total number of tickets sold on Wednesday
= 5 u + 180 + 18 u
= 23 u + 180
23 u + 180 = 801
23 u = 801 - 180
23 u = 621
1 u = 621 ÷ 23 = 27
Total number of tickets sold on Tuesday
= 10 u + 360 + 10 u
= 20 u + 360
= 20 x 27 + 180
= 720
Amount collected from the sale of concert tickets on Tuesday
= 720 x 20
= $14400
Answer(s): $14400