On Friday, 690 more men than women attended a concert. On Saturday, the number of men decreased by 50% and the number of women increased by 80%. 621 audience attended the concert on Saturday. If each ticket cost $8, how much money was collected from the sale of concert tickets on Friday?
|
Men |
Women |
Comparing between the men and the women at first |
690 more |
|
Before |
2x5 |
+ 690 |
5x2 |
Change |
- 1x5 |
- 345 |
+ 4x2 |
After |
1x5 |
+ 345 |
9x2 |
|
Men |
Women |
Before |
10 u + 690 |
10 u |
Change |
- 5 u - 345 |
+ 8 u |
After |
5 u + 345 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 690
=
50100 x 690
= 345
690 - 345 = 345
Total number of tickets sold on Saturday
= 5 u + 345 + 18 u
= 23 u + 345
23 u + 345 = 621
23 u = 621 - 345
23 u = 276
1 u = 276 ÷ 23 = 12
Total number of tickets sold on Friday
= 10 u + 690 + 10 u
= 20 u + 690
= 20 x 12 + 345
= 585
Amount collected from the sale of concert tickets on Friday
= 585 x 8
= $4680
Answer(s): $4680