On Monday, 250 more women than men attended a concert. On Tuesday, the number of women decreased by 50% and the number of men increased by 80%. 769 audience attended the concert on Tuesday. If each ticket cost $13, how much money was collected from the sale of concert tickets on Monday?
|
Women |
Men |
Comparing between the women and the men at first |
250 more |
|
Before |
2x5 |
+ 250 |
5x2 |
Change |
- 1x5 |
- 125 |
+ 4x2 |
After |
1x5 |
+ 125 |
9x2 |
|
Women |
Men |
Before |
10 u + 250 |
10 u |
Change |
- 5 u - 125 |
+ 8 u |
After |
5 u + 125 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 250
=
50100 x 250
= 125
250 - 125 = 125
Total number of tickets sold on Tuesday
= 5 u + 125 + 18 u
= 23 u + 125
23 u + 125 = 769
23 u = 769 - 125
23 u = 644
1 u = 644 ÷ 23 = 28
Total number of tickets sold on Monday
= 10 u + 250 + 10 u
= 20 u + 250
= 20 x 28 + 125
= 685
Amount collected from the sale of concert tickets on Monday
= 685 x 13
= $8905
Answer(s): $8905