On Wednesday, 720 more men than women attended a concert. On Thursday, the number of men decreased by 40% and the number of women increased by 50%. 1209 audience attended the concert on Thursday. If each ticket cost $14, 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 |
720 more |
|
Before |
5x2 |
+ 720 |
2x5 |
Change |
- 2x2 |
- 288 |
+ 1x5 |
After |
3x2 |
+ 432 |
3x5 |
|
Men |
Women |
Before |
10 u + 720 |
10 u |
Change |
- 4 u - 288 |
+ 5 u |
After |
6 u + 432 |
15 u |
40% =
40100 =
25 50% =
50100 =
12 40% x 720
=
40100 x 720
= 288
720 - 288 = 432
Total number of tickets sold on Thursday
= 6 u + 432 + 15 u
= 21 u + 432
21 u + 432 = 1209
21 u = 1209 - 432
21 u = 777
1 u = 777 ÷ 21 = 37
Total number of tickets sold for the two days
= (10 u + 720) + 10 u + (6 u + 432) + 15 u
= 41 u + 1152
= 41 x 37 + 1152
= 2669
Amount collected from the sale of concert tickets for the two days
= 2669 x 14
= $37366
Answer(s): $37366