On Tuesday, 680 more men than women attended a concert. On Wednesday, the number of men decreased by 50% and the number of women increased by 80%. 616 audience attended the concert on Wednesday. If each ticket cost $12, how much money was collected from the sale of concert tickets on Tuesday?
|
Men |
Women |
Comparing between the men and the women at first |
680 more |
|
Before |
2x5 |
+ 680 |
5x2 |
Change |
- 1x5 |
- 340 |
+ 4x2 |
After |
1x5 |
+ 340 |
9x2 |
|
Men |
Women |
Before |
10 u + 680 |
10 u |
Change |
- 5 u - 340 |
+ 8 u |
After |
5 u + 340 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 680
=
50100 x 680
= 340
680 - 340 = 340
Total number of tickets sold on Wednesday
= 5 u + 340 + 18 u
= 23 u + 340
23 u + 340 = 616
23 u = 616 - 340
23 u = 276
1 u = 276 ÷ 23 = 12
Total number of tickets sold on Tuesday
= 10 u + 680 + 10 u
= 20 u + 680
= 20 x 12 + 340
= 580
Amount collected from the sale of concert tickets on Tuesday
= 580 x 12
= $6960
Answer(s): $6960