On Thursday, 730 more men than women attended a concert. On Friday, the number of men decreased by 50% and the number of women increased by 80%. 1377 audience attended the concert on Friday. If each ticket cost $9, how much money was collected from the sale of concert tickets on Thursday?
|
Men |
Women |
Comparing between the men and the women at first |
730 more |
|
Before |
2x5 |
+ 730 |
5x2 |
Change |
- 1x5 |
- 365 |
+ 4x2 |
After |
1x5 |
+ 365 |
9x2 |
|
Men |
Women |
Before |
10 u + 730 |
10 u |
Change |
- 5 u - 365 |
+ 8 u |
After |
5 u + 365 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 730
=
50100 x 730
= 365
730 - 365 = 365
Total number of tickets sold on Friday
= 5 u + 365 + 18 u
= 23 u + 365
23 u + 365 = 1377
23 u = 1377 - 365
23 u = 1012
1 u = 1012 ÷ 23 = 44
Total number of tickets sold on Thursday
= 10 u + 730 + 10 u
= 20 u + 730
= 20 x 44 + 365
= 1245
Amount collected from the sale of concert tickets on Thursday
= 1245 x 9
= $11205
Answer(s): $11205