On Saturday, 230 more women than men attended a concert. On Sunday, the number of women decreased by 10% and the number of men increased by 80%. 990 audience attended the concert on Sunday. If each ticket cost $13, how much money was collected from the sale of concert tickets on Saturday?
|
Women |
Men |
Comparing between the women and the men at first |
230 more |
|
Before |
10x1 |
+ 230 |
5x2 |
Change |
- 1x1 |
- 23 |
+ 4x2 |
After |
9x1 |
+ 207 |
9x2 |
|
Women |
Men |
Before |
10 u + 230 |
10 u |
Change |
- 1 u - 23 |
+ 8 u |
After |
9 u + 207 |
18 u |
10% =
10100 =
110 80% =
80100 =
45 10% x 230
=
10100 x 230
= 23
230 - 23 = 207
Total number of tickets sold on Sunday
= 9 u + 207 + 18 u
= 27 u + 207
27 u + 207 = 990
27 u = 990 - 207
27 u = 783
1 u = 783 ÷ 27 = 29
Total number of tickets sold on Saturday
= 10 u + 230 + 10 u
= 20 u + 230
= 20 x 29 + 207
= 787
Amount collected from the sale of concert tickets on Saturday
= 787 x 13
= $10231
Answer(s): $10231