On Friday, 320 more men than women attended a concert. On Saturday, the number of men decreased by 40% and the number of women increased by 50%. 570 audience attended the concert on Saturday. If each ticket cost $12, how much money was collected from the sale of concert tickets for the two days?
|
Men |
Women |
Comparing between the men and the women at first |
320 more |
|
Before |
5x2 |
+ 320 |
2x5 |
Change |
- 2x2 |
- 128 |
+ 1x5 |
After |
3x2 |
+ 192 |
3x5 |
|
Men |
Women |
Before |
10 u + 320 |
10 u |
Change |
- 4 u - 128 |
+ 5 u |
After |
6 u + 192 |
15 u |
40% =
40100 =
25 50% =
50100 =
12 40% x 320
=
40100 x 320
= 128
320 - 128 = 192
Total number of tickets sold on Saturday
= 6 u + 192 + 15 u
= 21 u + 192
21 u + 192 = 570
21 u = 570 - 192
21 u = 378
1 u = 378 ÷ 21 = 18
Total number of tickets sold for the two days
= (10 u + 320) + 10 u + (6 u + 192) + 15 u
= 41 u + 512
= 41 x 18 + 512
= 1250
Amount collected from the sale of concert tickets for the two days
= 1250 x 12
= $15000
Answer(s): $15000