On Saturday, 320 more women than men attended a concert. On Sunday, the number of women decreased by 10% and the number of men increased by 80%. 504 audience attended the concert on Sunday. If each ticket cost $16, how much money was collected from the sale of concert tickets on Saturday?
|
Women |
Men |
Comparing between the women and the men at first |
320 more |
|
Before |
10x1 |
+ 320 |
5x2 |
Change |
- 1x1 |
- 32 |
+ 4x2 |
After |
9x1 |
+ 288 |
9x2 |
|
Women |
Men |
Before |
10 u + 320 |
10 u |
Change |
- 1 u - 32 |
+ 8 u |
After |
9 u + 288 |
18 u |
10% =
10100 =
110 80% =
80100 =
45 10% x 320
=
10100 x 320
= 32
320 - 32 = 288
Total number of tickets sold on Sunday
= 9 u + 288 + 18 u
= 27 u + 288
27 u + 288 = 504
27 u = 504 - 288
27 u = 216
1 u = 216 ÷ 27 = 8
Total number of tickets sold on Saturday
= 10 u + 320 + 10 u
= 20 u + 320
= 20 x 8 + 288
= 448
Amount collected from the sale of concert tickets on Saturday
= 448 x 16
= $7168
Answer(s): $7168