On Monday, 490 more men than women attended a concert. On Tuesday, the number of men decreased by 40% and the number of women increased by 70%. 1122 audience attended the concert on Tuesday. If each ticket cost $20, 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 |
490 more |
|
Before |
5x2 |
+ 490 |
10x1 |
Change |
- 2x2 |
- 196 |
+ 7x1 |
After |
3x2 |
+ 294 |
17x1 |
|
Men |
Women |
Before |
10 u + 490 |
10 u |
Change |
- 4 u - 196 |
+ 7 u |
After |
6 u + 294 |
17 u |
40% =
40100 =
25 70% =
70100 =
710 40% x 490
=
40100 x 490
= 196
490 - 196 = 294
Total number of tickets sold on Tuesday
= 6 u + 294 + 17 u
= 23 u + 294
23 u + 294 = 1122
23 u = 1122 - 294
23 u = 828
1 u = 828 ÷ 23 = 36
Total number of tickets sold for the two days
= (10 u + 490) + 10 u + (6 u + 294) + 17 u
= 43 u + 784
= 43 x 36 + 784
= 2332
Amount collected from the sale of concert tickets for the two days
= 2332 x 20
= $46640
Answer(s): $46640