On Friday, 370 more women than men attended a concert. On Saturday, the number of women decreased by 40% and the number of men increased by 50%. 936 audience attended the concert on Saturday. If each ticket cost $9, how much money was collected from the sale of concert tickets for the two days?
|
Women |
Men |
Comparing between the women and the men at first |
370 more |
|
Before |
5x2 |
+ 370 |
2x5 |
Change |
- 2x2 |
- 148 |
+ 1x5 |
After |
3x2 |
+ 222 |
3x5 |
|
Women |
Men |
Before |
10 u + 370 |
10 u |
Change |
- 4 u - 148 |
+ 5 u |
After |
6 u + 222 |
15 u |
40% =
40100 =
25 50% =
50100 =
12 40% x 370
=
40100 x 370
= 148
370 - 148 = 222
Total number of tickets sold on Saturday
= 6 u + 222 + 15 u
= 21 u + 222
21 u + 222 = 936
21 u = 936 - 222
21 u = 714
1 u = 714 ÷ 21 = 34
Total number of tickets sold for the two days
= (10 u + 370) + 10 u + (6 u + 222) + 15 u
= 41 u + 592
= 41 x 34 + 592
= 1986
Amount collected from the sale of concert tickets for the two days
= 1986 x 9
= $17874
Answer(s): $17874