On Saturday, 620 more men than women attended a concert. On Sunday, the number of men decreased by 50% and the number of women increased by 80%. 1069 audience attended the concert on Sunday. If each ticket cost $20, how much money was collected from the sale of concert tickets on Saturday?
|
Men |
Women |
Comparing between the men and the women at first |
620 more |
|
Before |
2x5 |
+ 620 |
5x2 |
Change |
- 1x5 |
- 310 |
+ 4x2 |
After |
1x5 |
+ 310 |
9x2 |
|
Men |
Women |
Before |
10 u + 620 |
10 u |
Change |
- 5 u - 310 |
+ 8 u |
After |
5 u + 310 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 620
=
50100 x 620
= 310
620 - 310 = 310
Total number of tickets sold on Sunday
= 5 u + 310 + 18 u
= 23 u + 310
23 u + 310 = 1069
23 u = 1069 - 310
23 u = 759
1 u = 759 ÷ 23 = 33
Total number of tickets sold on Saturday
= 10 u + 620 + 10 u
= 20 u + 620
= 20 x 33 + 310
= 970
Amount collected from the sale of concert tickets on Saturday
= 970 x 20
= $19400
Answer(s): $19400