On Tuesday, 520 more men than women attended a concert. On Wednesday, the number of men decreased by 40% and the number of women increased by 70%. 910 audience attended the concert on Wednesday. If each ticket cost $17, 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 |
520 more |
|
Before |
5x2 |
+ 520 |
10x1 |
Change |
- 2x2 |
- 208 |
+ 7x1 |
After |
3x2 |
+ 312 |
17x1 |
|
Men |
Women |
Before |
10 u + 520 |
10 u |
Change |
- 4 u - 208 |
+ 7 u |
After |
6 u + 312 |
17 u |
40% =
40100 =
25 70% =
70100 =
710 40% x 520
=
40100 x 520
= 208
520 - 208 = 312
Total number of tickets sold on Wednesday
= 6 u + 312 + 17 u
= 23 u + 312
23 u + 312 = 910
23 u = 910 - 312
23 u = 598
1 u = 598 ÷ 23 = 26
Total number of tickets sold for the two days
= (10 u + 520) + 10 u + (6 u + 312) + 17 u
= 43 u + 832
= 43 x 26 + 832
= 1950
Amount collected from the sale of concert tickets for the two days
= 1950 x 17
= $33150
Answer(s): $33150