On Monday, 460 more men than women attended a concert. On Tuesday, the number of men decreased by 40% and the number of women increased by 50%. 1116 audience attended the concert on Tuesday. If each ticket cost $15, 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 |
460 more |
|
Before |
5x2 |
+ 460 |
2x5 |
Change |
- 2x2 |
- 184 |
+ 1x5 |
After |
3x2 |
+ 276 |
3x5 |
|
Men |
Women |
Before |
10 u + 460 |
10 u |
Change |
- 4 u - 184 |
+ 5 u |
After |
6 u + 276 |
15 u |
40% =
40100 =
25 50% =
50100 =
12 40% x 460
=
40100 x 460
= 184
460 - 184 = 276
Total number of tickets sold on Tuesday
= 6 u + 276 + 15 u
= 21 u + 276
21 u + 276 = 1116
21 u = 1116 - 276
21 u = 840
1 u = 840 ÷ 21 = 40
Total number of tickets sold for the two days
= (10 u + 460) + 10 u + (6 u + 276) + 15 u
= 41 u + 736
= 41 x 40 + 736
= 2376
Amount collected from the sale of concert tickets for the two days
= 2376 x 15
= $35640
Answer(s): $35640