On Friday, 690 more men than women attended a concert. On Saturday, the number of men decreased by 10% and the number of women increased by 50%. 1365 audience attended the concert on Saturday. If each ticket cost $15, 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 |
690 more |
|
Before |
10x1 |
+ 690 |
2x5 |
Change |
- 1x1 |
- 69 |
+ 1x5 |
After |
9x1 |
+ 621 |
3x5 |
|
Men |
Women |
Before |
10 u + 690 |
10 u |
Change |
- 1 u - 69 |
+ 5 u |
After |
9 u + 621 |
15 u |
10% =
10100 =
110 50% =
50100 =
12 10% x 690
=
10100 x 690
= 69
690 - 69 = 621
Total number of tickets sold on Saturday
= 9 u + 621 + 15 u
= 24 u + 621
24 u + 621 = 1365
24 u = 1365 - 621
24 u = 744
1 u = 744 ÷ 24 = 31
Total number of tickets sold for the two days
= (10 u + 690) + 10 u + (9 u + 621) + 15 u
= 44 u + 1311
= 44 x 31 + 1311
= 2675
Amount collected from the sale of concert tickets for the two days
= 2675 x 15
= $40125
Answer(s): $40125