On Saturday, 350 more men than women attended a concert. On Sunday, the number of men decreased by 50% and the number of women increased by 80%. 727 audience attended the concert on Sunday. If each ticket cost $16, how much money was collected from the sale of concert tickets on Saturday?
|
Men |
Women |
Comparing between the men and the women at first |
350 more |
|
Before |
2x5 |
+ 350 |
5x2 |
Change |
- 1x5 |
- 175 |
+ 4x2 |
After |
1x5 |
+ 175 |
9x2 |
|
Men |
Women |
Before |
10 u + 350 |
10 u |
Change |
- 5 u - 175 |
+ 8 u |
After |
5 u + 175 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 350
=
50100 x 350
= 175
350 - 175 = 175
Total number of tickets sold on Sunday
= 5 u + 175 + 18 u
= 23 u + 175
23 u + 175 = 727
23 u = 727 - 175
23 u = 552
1 u = 552 ÷ 23 = 24
Total number of tickets sold on Saturday
= 10 u + 350 + 10 u
= 20 u + 350
= 20 x 24 + 175
= 655
Amount collected from the sale of concert tickets on Saturday
= 655 x 16
= $10480
Answer(s): $10480