On Monday, 450 more men than women attended a concert. On Tuesday, the number of men decreased by 40% and the number of women increased by 70%. 1259 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 |
450 more |
|
Before |
5x2 |
+ 450 |
10x1 |
Change |
- 2x2 |
- 180 |
+ 7x1 |
After |
3x2 |
+ 270 |
17x1 |
|
Men |
Women |
Before |
10 u + 450 |
10 u |
Change |
- 4 u - 180 |
+ 7 u |
After |
6 u + 270 |
17 u |
40% =
40100 =
25 70% =
70100 =
710 40% x 450
=
40100 x 450
= 180
450 - 180 = 270
Total number of tickets sold on Tuesday
= 6 u + 270 + 17 u
= 23 u + 270
23 u + 270 = 1259
23 u = 1259 - 270
23 u = 989
1 u = 989 ÷ 23 = 43
Total number of tickets sold for the two days
= (10 u + 450) + 10 u + (6 u + 270) + 17 u
= 43 u + 720
= 43 x 43 + 720
= 2569
Amount collected from the sale of concert tickets for the two days
= 2569 x 15
= $38535
Answer(s): $38535