On Monday, 710 more men than women attended a concert. On Tuesday, the number of men decreased by 40% and the number of women increased by 70%. 1231 audience attended the concert on Tuesday. If each ticket cost $6, 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 |
710 more |
|
Before |
5x2 |
+ 710 |
10x1 |
Change |
- 2x2 |
- 284 |
+ 7x1 |
After |
3x2 |
+ 426 |
17x1 |
|
Men |
Women |
Before |
10 u + 710 |
10 u |
Change |
- 4 u - 284 |
+ 7 u |
After |
6 u + 426 |
17 u |
40% =
40100 =
25 70% =
70100 =
710 40% x 710
=
40100 x 710
= 284
710 - 284 = 426
Total number of tickets sold on Tuesday
= 6 u + 426 + 17 u
= 23 u + 426
23 u + 426 = 1231
23 u = 1231 - 426
23 u = 805
1 u = 805 ÷ 23 = 35
Total number of tickets sold for the two days
= (10 u + 710) + 10 u + (6 u + 426) + 17 u
= 43 u + 1136
= 43 x 35 + 1136
= 2641
Amount collected from the sale of concert tickets for the two days
= 2641 x 6
= $15846
Answer(s): $15846