On Friday, 100 more men than women attended a concert. On Saturday, the number of men decreased by 10% and the number of women increased by 60%. 1240 audience attended the concert on Saturday. If each ticket cost $18, 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 |
100 more |
|
Before |
10x1 |
+ 100 |
5x2 |
Change |
- 1x1 |
- 10 |
+ 3x2 |
After |
9x1 |
+ 90 |
8x2 |
|
Men |
Women |
Before |
10 u + 100 |
10 u |
Change |
- 1 u - 10 |
+ 6 u |
After |
9 u + 90 |
16 u |
10% =
10100 =
110 60% =
60100 =
35 10% x 100
=
10100 x 100
= 10
100 - 10 = 90
Total number of tickets sold on Saturday
= 9 u + 90 + 16 u
= 25 u + 90
25 u + 90 = 1240
25 u = 1240 - 90
25 u = 1150
1 u = 1150 ÷ 25 = 46
Total number of tickets sold for the two days
= (10 u + 100) + 10 u + (9 u + 90) + 16 u
= 45 u + 190
= 45 x 46 + 190
= 2260
Amount collected from the sale of concert tickets for the two days
= 2260 x 18
= $40680
Answer(s): $40680