On Thursday, 280 more women than men attended a concert. On Friday, the number of women decreased by 10% and the number of men increased by 80%. 657 audience attended the concert on Friday. If each ticket cost $12, how much money was collected from the sale of concert tickets on Thursday?
|
Women |
Men |
Comparing between the women and the men at first |
280 more |
|
Before |
10x1 |
+ 280 |
5x2 |
Change |
- 1x1 |
- 28 |
+ 4x2 |
After |
9x1 |
+ 252 |
9x2 |
|
Women |
Men |
Before |
10 u + 280 |
10 u |
Change |
- 1 u - 28 |
+ 8 u |
After |
9 u + 252 |
18 u |
10% =
10100 =
110 80% =
80100 =
45 10% x 280
=
10100 x 280
= 28
280 - 28 = 252
Total number of tickets sold on Friday
= 9 u + 252 + 18 u
= 27 u + 252
27 u + 252 = 657
27 u = 657 - 252
27 u = 405
1 u = 405 ÷ 27 = 15
Total number of tickets sold on Thursday
= 10 u + 280 + 10 u
= 20 u + 280
= 20 x 15 + 252
= 552
Amount collected from the sale of concert tickets on Thursday
= 552 x 12
= $6624
Answer(s): $6624