On Friday, 320 more men than women attended a concert. On Saturday, the number of men decreased by 40% and the number of women increased by 70%. 1480 audience attended the concert on Saturday. If each ticket cost $14, 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 |
320 more |
|
Before |
5x2 |
+ 320 |
10x1 |
Change |
- 2x2 |
- 128 |
+ 7x1 |
After |
3x2 |
+ 192 |
17x1 |
|
Men |
Women |
Before |
10 u + 320 |
10 u |
Change |
- 4 u - 128 |
+ 7 u |
After |
6 u + 192 |
17 u |
40% =
40100 =
25 70% =
70100 =
710 40% x 320
=
40100 x 320
= 128
320 - 128 = 192
Total number of tickets sold on Saturday
= 6 u + 192 + 17 u
= 23 u + 192
23 u + 192 = 1480
23 u = 1480 - 192
23 u = 1288
1 u = 1288 ÷ 23 = 56
Total number of tickets sold for the two days
= (10 u + 320) + 10 u + (6 u + 192) + 17 u
= 43 u + 512
= 43 x 56 + 512
= 2920
Amount collected from the sale of concert tickets for the two days
= 2920 x 14
= $40880
Answer(s): $40880