On Wednesday, 290 more women than men attended a concert. On Thursday, the number of women decreased by 40% and the number of men increased by 50%. 825 audience attended the concert on Thursday. If each ticket cost $14, 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 |
290 more |
|
Before |
5x2 |
+ 290 |
2x5 |
Change |
- 2x2 |
- 116 |
+ 1x5 |
After |
3x2 |
+ 174 |
3x5 |
|
Women |
Men |
Before |
10 u + 290 |
10 u |
Change |
- 4 u - 116 |
+ 5 u |
After |
6 u + 174 |
15 u |
40% =
40100 =
25 50% =
50100 =
12 40% x 290
=
40100 x 290
= 116
290 - 116 = 174
Total number of tickets sold on Thursday
= 6 u + 174 + 15 u
= 21 u + 174
21 u + 174 = 825
21 u = 825 - 174
21 u = 651
1 u = 651 ÷ 21 = 31
Total number of tickets sold for the two days
= (10 u + 290) + 10 u + (6 u + 174) + 15 u
= 41 u + 464
= 41 x 31 + 464
= 1735
Amount collected from the sale of concert tickets for the two days
= 1735 x 14
= $24290
Answer(s): $24290