On Tuesday, 760 more men than women attended a concert. On Wednesday, the number of men decreased by 10% and the number of women increased by 60%. 1159 audience attended the concert on Wednesday. If each ticket cost $15, 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 |
760 more |
|
Before |
10x1 |
+ 760 |
5x2 |
Change |
- 1x1 |
- 76 |
+ 3x2 |
After |
9x1 |
+ 684 |
8x2 |
|
Men |
Women |
Before |
10 u + 760 |
10 u |
Change |
- 1 u - 76 |
+ 6 u |
After |
9 u + 684 |
16 u |
10% =
10100 =
110 60% =
60100 =
35 10% x 760
=
10100 x 760
= 76
760 - 76 = 684
Total number of tickets sold on Wednesday
= 9 u + 684 + 16 u
= 25 u + 684
25 u + 684 = 1159
25 u = 1159 - 684
25 u = 475
1 u = 475 ÷ 25 = 19
Total number of tickets sold for the two days
= (10 u + 760) + 10 u + (9 u + 684) + 16 u
= 45 u + 1444
= 45 x 19 + 1444
= 2299
Amount collected from the sale of concert tickets for the two days
= 2299 x 15
= $34485
Answer(s): $34485