On Thursday, 720 more women than men attended a concert. On Friday, the number of women decreased by 50% and the number of men increased by 80%. 1004 audience attended the concert on Friday. If each ticket cost $17, how much money was collected from the sale of concert tickets on Thursday?
|
Women |
Men |
Comparing between the women and the men at first |
720 more |
|
Before |
2x5 |
+ 720 |
5x2 |
Change |
- 1x5 |
- 360 |
+ 4x2 |
After |
1x5 |
+ 360 |
9x2 |
|
Women |
Men |
Before |
10 u + 720 |
10 u |
Change |
- 5 u - 360 |
+ 8 u |
After |
5 u + 360 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 720
=
50100 x 720
= 360
720 - 360 = 360
Total number of tickets sold on Friday
= 5 u + 360 + 18 u
= 23 u + 360
23 u + 360 = 1004
23 u = 1004 - 360
23 u = 644
1 u = 644 ÷ 23 = 28
Total number of tickets sold on Thursday
= 10 u + 720 + 10 u
= 20 u + 720
= 20 x 28 + 360
= 920
Amount collected from the sale of concert tickets on Thursday
= 920 x 17
= $15640
Answer(s): $15640