On Wednesday, 160 more men than women attended a concert. On Thursday, the number of men decreased by 50% and the number of women increased by 80%. 1276 audience attended the concert on Thursday. If each ticket cost $16, how much money was collected from the sale of concert tickets on Wednesday?
|
Men |
Women |
Comparing between the men and the women at first |
160 more |
|
Before |
2x5 |
+ 160 |
5x2 |
Change |
- 1x5 |
- 80 |
+ 4x2 |
After |
1x5 |
+ 80 |
9x2 |
|
Men |
Women |
Before |
10 u + 160 |
10 u |
Change |
- 5 u - 80 |
+ 8 u |
After |
5 u + 80 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 160
=
50100 x 160
= 80
160 - 80 = 80
Total number of tickets sold on Thursday
= 5 u + 80 + 18 u
= 23 u + 80
23 u + 80 = 1276
23 u = 1276 - 80
23 u = 1196
1 u = 1196 ÷ 23 = 52
Total number of tickets sold on Wednesday
= 10 u + 160 + 10 u
= 20 u + 160
= 20 x 52 + 80
= 1120
Amount collected from the sale of concert tickets on Wednesday
= 1120 x 16
= $17920
Answer(s): $17920