On Thursday, 510 more men than women attended a concert. On Friday, the number of men decreased by 50% and the number of women increased by 80%. 1106 audience attended the concert on Friday. If each ticket cost $19, how much money was collected from the sale of concert tickets on Thursday?
|
Men |
Women |
Comparing between the men and the women at first |
510 more |
|
Before |
2x5 |
+ 510 |
5x2 |
Change |
- 1x5 |
- 255 |
+ 4x2 |
After |
1x5 |
+ 255 |
9x2 |
|
Men |
Women |
Before |
10 u + 510 |
10 u |
Change |
- 5 u - 255 |
+ 8 u |
After |
5 u + 255 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 510
=
50100 x 510
= 255
510 - 255 = 255
Total number of tickets sold on Friday
= 5 u + 255 + 18 u
= 23 u + 255
23 u + 255 = 1106
23 u = 1106 - 255
23 u = 851
1 u = 851 ÷ 23 = 37
Total number of tickets sold on Thursday
= 10 u + 510 + 10 u
= 20 u + 510
= 20 x 37 + 255
= 995
Amount collected from the sale of concert tickets on Thursday
= 995 x 19
= $18905
Answer(s): $18905