On Thursday, 620 more men than women attended a concert. On Friday, the number of men decreased by 50% and the number of women increased by 70%. 750 audience attended the concert on Friday. If each ticket cost $11, how much money was collected from the sale of concert tickets to all the women?
|
Men |
Women |
Comparing between the men and the women at first |
620 more |
|
Before |
2x5 |
+ 620 |
10x1 |
Change |
- 1x5 |
- 310 |
+ 7x1 |
After |
1x5 |
+ 310 |
17x1 |
|
Men |
Women |
Before |
10 u + 620 |
10 u |
Change |
- 5 u - 310 |
+ 7 u |
After |
5 u + 310 |
17 u |
50% =
50100 =
12 70% =
70100 =
710 50% x 620
=
50100 x 620
= 310
620 - 310 = 310
Total number of tickets sold on Friday
= 5 u + 310 + 17 u
= 22 u + 310
22 u + 310 = 750
22 u = 750 - 310
22 u = 440
1 u = 440 ÷ 22 = 20
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 20
= 540
Amount collected from the sale of concert tickets to all the women
= 540 x 11
= $5940
Answer(s): $5940