On Wednesday, 790 more men than women attended a concert. On Thursday, the number of men decreased by 10% and the number of women increased by 80%. 1494 audience attended the concert on Thursday. If each ticket cost $12, how much money was collected from the sale of concert tickets on Wednesday?
|
Men |
Women |
Comparing between the men and the women at first |
790 more |
|
Before |
10x1 |
+ 790 |
5x2 |
Change |
- 1x1 |
- 79 |
+ 4x2 |
After |
9x1 |
+ 711 |
9x2 |
|
Men |
Women |
Before |
10 u + 790 |
10 u |
Change |
- 1 u - 79 |
+ 8 u |
After |
9 u + 711 |
18 u |
10% =
10100 =
110 80% =
80100 =
45 10% x 790
=
10100 x 790
= 79
790 - 79 = 711
Total number of tickets sold on Thursday
= 9 u + 711 + 18 u
= 27 u + 711
27 u + 711 = 1494
27 u = 1494 - 711
27 u = 783
1 u = 783 ÷ 27 = 29
Total number of tickets sold on Wednesday
= 10 u + 790 + 10 u
= 20 u + 790
= 20 x 29 + 711
= 1291
Amount collected from the sale of concert tickets on Wednesday
= 1291 x 12
= $15492
Answer(s): $15492