On Saturday, 680 more women than men attended a concert. On Sunday, the number of women decreased by 40% and the number of men increased by 50%. 849 audience attended the concert on Sunday. If each ticket cost $12, 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 |
680 more |
|
Before |
5x2 |
+ 680 |
2x5 |
Change |
- 2x2 |
- 272 |
+ 1x5 |
After |
3x2 |
+ 408 |
3x5 |
|
Women |
Men |
Before |
10 u + 680 |
10 u |
Change |
- 4 u - 272 |
+ 5 u |
After |
6 u + 408 |
15 u |
40% =
40100 =
25 50% =
50100 =
12 40% x 680
=
40100 x 680
= 272
680 - 272 = 408
Total number of tickets sold on Sunday
= 6 u + 408 + 15 u
= 21 u + 408
21 u + 408 = 849
21 u = 849 - 408
21 u = 441
1 u = 441 ÷ 21 = 21
Total number of tickets sold for the two days
= (10 u + 680) + 10 u + (6 u + 408) + 15 u
= 41 u + 1088
= 41 x 21 + 1088
= 1949
Amount collected from the sale of concert tickets for the two days
= 1949 x 12
= $23388
Answer(s): $23388