On Saturday, 430 more women than men attended a concert. On Sunday, the number of women decreased by 50% and the number of men increased by 80%. 1135 audience attended the concert on Sunday. If each ticket cost $15, how much money was collected from the sale of concert tickets on Saturday?
|
Women |
Men |
Comparing between the women and the men at first |
430 more |
|
Before |
2x5 |
+ 430 |
5x2 |
Change |
- 1x5 |
- 215 |
+ 4x2 |
After |
1x5 |
+ 215 |
9x2 |
|
Women |
Men |
Before |
10 u + 430 |
10 u |
Change |
- 5 u - 215 |
+ 8 u |
After |
5 u + 215 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 430
=
50100 x 430
= 215
430 - 215 = 215
Total number of tickets sold on Sunday
= 5 u + 215 + 18 u
= 23 u + 215
23 u + 215 = 1135
23 u = 1135 - 215
23 u = 920
1 u = 920 ÷ 23 = 40
Total number of tickets sold on Saturday
= 10 u + 430 + 10 u
= 20 u + 430
= 20 x 40 + 215
= 1015
Amount collected from the sale of concert tickets on Saturday
= 1015 x 15
= $15225
Answer(s): $15225