On Saturday, 230 more men than women attended a concert. On Sunday, the number of men decreased by 40% and the number of women increased by 50%. 1314 audience attended the concert on Sunday. If each ticket cost $7, 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 |
230 more |
|
Before |
5x2 |
+ 230 |
2x5 |
Change |
- 2x2 |
- 92 |
+ 1x5 |
After |
3x2 |
+ 138 |
3x5 |
|
Men |
Women |
Before |
10 u + 230 |
10 u |
Change |
- 4 u - 92 |
+ 5 u |
After |
6 u + 138 |
15 u |
40% =
40100 =
25 50% =
50100 =
12 40% x 230
=
40100 x 230
= 92
230 - 92 = 138
Total number of tickets sold on Sunday
= 6 u + 138 + 15 u
= 21 u + 138
21 u + 138 = 1314
21 u = 1314 - 138
21 u = 1176
1 u = 1176 ÷ 21 = 56
Total number of tickets sold for the two days
= (10 u + 230) + 10 u + (6 u + 138) + 15 u
= 41 u + 368
= 41 x 56 + 368
= 2664
Amount collected from the sale of concert tickets for the two days
= 2664 x 7
= $18648
Answer(s): $18648