On Tuesday, 730 more men than women attended a concert. On Wednesday, the number of men decreased by 10% and the number of women increased by 80%. 1143 audience attended the concert on Wednesday. If each ticket cost $9, how much money was collected from the sale of concert tickets on Tuesday?
|
Men |
Women |
Comparing between the men and the women at first |
730 more |
|
Before |
10x1 |
+ 730 |
5x2 |
Change |
- 1x1 |
- 73 |
+ 4x2 |
After |
9x1 |
+ 657 |
9x2 |
|
Men |
Women |
Before |
10 u + 730 |
10 u |
Change |
- 1 u - 73 |
+ 8 u |
After |
9 u + 657 |
18 u |
10% =
10100 =
110 80% =
80100 =
45 10% x 730
=
10100 x 730
= 73
730 - 73 = 657
Total number of tickets sold on Wednesday
= 9 u + 657 + 18 u
= 27 u + 657
27 u + 657 = 1143
27 u = 1143 - 657
27 u = 486
1 u = 486 ÷ 27 = 18
Total number of tickets sold on Tuesday
= 10 u + 730 + 10 u
= 20 u + 730
= 20 x 18 + 657
= 1017
Amount collected from the sale of concert tickets on Tuesday
= 1017 x 9
= $9153
Answer(s): $9153