On Tuesday, 610 more women than men attended a concert. On Wednesday, the number of women decreased by 50% and the number of men increased by 80%. 673 audience attended the concert on Wednesday. If each ticket cost $7, how much money was collected from the sale of concert tickets on Tuesday?
|
Women |
Men |
Comparing between the women and the men at first |
610 more |
|
Before |
2x5 |
+ 610 |
5x2 |
Change |
- 1x5 |
- 305 |
+ 4x2 |
After |
1x5 |
+ 305 |
9x2 |
|
Women |
Men |
Before |
10 u + 610 |
10 u |
Change |
- 5 u - 305 |
+ 8 u |
After |
5 u + 305 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 610
=
50100 x 610
= 305
610 - 305 = 305
Total number of tickets sold on Wednesday
= 5 u + 305 + 18 u
= 23 u + 305
23 u + 305 = 673
23 u = 673 - 305
23 u = 368
1 u = 368 ÷ 23 = 16
Total number of tickets sold on Tuesday
= 10 u + 610 + 10 u
= 20 u + 610
= 20 x 16 + 305
= 625
Amount collected from the sale of concert tickets on Tuesday
= 625 x 7
= $4375
Answer(s): $4375