On Monday, 270 more women than men attended a concert. On Tuesday, the number of women decreased by 10% and the number of men increased by 80%. 891 audience attended the concert on Tuesday. If each ticket cost $8, how much money was collected from the sale of concert tickets on Monday?
|
Women |
Men |
Comparing between the women and the men at first |
270 more |
|
Before |
10x1 |
+ 270 |
5x2 |
Change |
- 1x1 |
- 27 |
+ 4x2 |
After |
9x1 |
+ 243 |
9x2 |
|
Women |
Men |
Before |
10 u + 270 |
10 u |
Change |
- 1 u - 27 |
+ 8 u |
After |
9 u + 243 |
18 u |
10% =
10100 =
110 80% =
80100 =
45 10% x 270
=
10100 x 270
= 27
270 - 27 = 243
Total number of tickets sold on Tuesday
= 9 u + 243 + 18 u
= 27 u + 243
27 u + 243 = 891
27 u = 891 - 243
27 u = 648
1 u = 648 ÷ 27 = 24
Total number of tickets sold on Monday
= 10 u + 270 + 10 u
= 20 u + 270
= 20 x 24 + 243
= 723
Amount collected from the sale of concert tickets on Monday
= 723 x 8
= $5784
Answer(s): $5784