On Saturday, 480 more women than men attended a concert. On Sunday, the number of women decreased by 50% and the number of men increased by 80%. 1275 audience attended the concert on Sunday. If each ticket cost $18, how much money was collected from the sale of concert tickets on Saturday?
|
Women |
Men |
Comparing between the women and the men at first |
480 more |
|
Before |
2x5 |
+ 480 |
5x2 |
Change |
- 1x5 |
- 240 |
+ 4x2 |
After |
1x5 |
+ 240 |
9x2 |
|
Women |
Men |
Before |
10 u + 480 |
10 u |
Change |
- 5 u - 240 |
+ 8 u |
After |
5 u + 240 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 480
=
50100 x 480
= 240
480 - 240 = 240
Total number of tickets sold on Sunday
= 5 u + 240 + 18 u
= 23 u + 240
23 u + 240 = 1275
23 u = 1275 - 240
23 u = 1035
1 u = 1035 ÷ 23 = 45
Total number of tickets sold on Saturday
= 10 u + 480 + 10 u
= 20 u + 480
= 20 x 45 + 240
= 1140
Amount collected from the sale of concert tickets on Saturday
= 1140 x 18
= $20520
Answer(s): $20520