On Friday, 650 more men than women attended a concert. On Saturday, the number of men decreased by 50% and the number of women increased by 80%. 808 audience attended the concert on Saturday. If each ticket cost $19, how much money was collected from the sale of concert tickets on Friday?
|
Men |
Women |
Comparing between the men and the women at first |
650 more |
|
Before |
2x5 |
+ 650 |
5x2 |
Change |
- 1x5 |
- 325 |
+ 4x2 |
After |
1x5 |
+ 325 |
9x2 |
|
Men |
Women |
Before |
10 u + 650 |
10 u |
Change |
- 5 u - 325 |
+ 8 u |
After |
5 u + 325 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 650
=
50100 x 650
= 325
650 - 325 = 325
Total number of tickets sold on Saturday
= 5 u + 325 + 18 u
= 23 u + 325
23 u + 325 = 808
23 u = 808 - 325
23 u = 483
1 u = 483 ÷ 23 = 21
Total number of tickets sold on Friday
= 10 u + 650 + 10 u
= 20 u + 650
= 20 x 21 + 325
= 745
Amount collected from the sale of concert tickets on Friday
= 745 x 19
= $14155
Answer(s): $14155