On Monday, 700 more women than men attended a concert. On Tuesday, the number of women decreased by 50% and the number of men increased by 80%. 1408 audience attended the concert on Tuesday. If each ticket cost $14, how much money was collected from the sale of concert tickets on Monday?
|
Women |
Men |
Comparing between the women and the men at first |
700 more |
|
Before |
2x5 |
+ 700 |
5x2 |
Change |
- 1x5 |
- 350 |
+ 4x2 |
After |
1x5 |
+ 350 |
9x2 |
|
Women |
Men |
Before |
10 u + 700 |
10 u |
Change |
- 5 u - 350 |
+ 8 u |
After |
5 u + 350 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 700
=
50100 x 700
= 350
700 - 350 = 350
Total number of tickets sold on Tuesday
= 5 u + 350 + 18 u
= 23 u + 350
23 u + 350 = 1408
23 u = 1408 - 350
23 u = 1058
1 u = 1058 ÷ 23 = 46
Total number of tickets sold on Monday
= 10 u + 700 + 10 u
= 20 u + 700
= 20 x 46 + 350
= 1270
Amount collected from the sale of concert tickets on Monday
= 1270 x 14
= $17780
Answer(s): $17780