On Wednesday, 280 more men than women attended a concert. On Thursday, the number of men decreased by 10% and the number of women increased by 60%. 1002 audience attended the concert on Thursday. If each ticket cost $13, 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 |
280 more |
|
Before |
10x1 |
+ 280 |
5x2 |
Change |
- 1x1 |
- 28 |
+ 3x2 |
After |
9x1 |
+ 252 |
8x2 |
|
Men |
Women |
Before |
10 u + 280 |
10 u |
Change |
- 1 u - 28 |
+ 6 u |
After |
9 u + 252 |
16 u |
10% =
10100 =
110 60% =
60100 =
35 10% x 280
=
10100 x 280
= 28
280 - 28 = 252
Total number of tickets sold on Thursday
= 9 u + 252 + 16 u
= 25 u + 252
25 u + 252 = 1002
25 u = 1002 - 252
25 u = 750
1 u = 750 ÷ 25 = 30
Total number of tickets sold for the two days
= (10 u + 280) + 10 u + (9 u + 252) + 16 u
= 45 u + 532
= 45 x 30 + 532
= 1882
Amount collected from the sale of concert tickets for the two days
= 1882 x 13
= $24466
Answer(s): $24466