On Tuesday, 600 more men than women attended a concert. On Wednesday, the number of men decreased by 40% and the number of women increased by 50%. 1431 audience attended the concert on Wednesday. If each ticket cost $7, how much money was collected from the sale of concert tickets for the two days?
|
Men |
Women |
Comparing between the men and the women at first |
600 more |
|
Before |
5x2 |
+ 600 |
2x5 |
Change |
- 2x2 |
- 240 |
+ 1x5 |
After |
3x2 |
+ 360 |
3x5 |
|
Men |
Women |
Before |
10 u + 600 |
10 u |
Change |
- 4 u - 240 |
+ 5 u |
After |
6 u + 360 |
15 u |
40% =
40100 =
25 50% =
50100 =
12 40% x 600
=
40100 x 600
= 240
600 - 240 = 360
Total number of tickets sold on Wednesday
= 6 u + 360 + 15 u
= 21 u + 360
21 u + 360 = 1431
21 u = 1431 - 360
21 u = 1071
1 u = 1071 ÷ 21 = 51
Total number of tickets sold for the two days
= (10 u + 600) + 10 u + (6 u + 360) + 15 u
= 41 u + 960
= 41 x 51 + 960
= 3051
Amount collected from the sale of concert tickets for the two days
= 3051 x 7
= $21357
Answer(s): $21357