On Monday, 300 more women than men attended a concert. On Tuesday, the number of women decreased by 50% and the number of men increased by 80%. 1415 audience attended the concert on Tuesday. If each ticket cost $12, how much money was collected from the sale of concert tickets on Monday?
|
Women |
Men |
Comparing between the women and the men at first |
300 more |
|
Before |
2x5 |
+ 300 |
5x2 |
Change |
- 1x5 |
- 150 |
+ 4x2 |
After |
1x5 |
+ 150 |
9x2 |
|
Women |
Men |
Before |
10 u + 300 |
10 u |
Change |
- 5 u - 150 |
+ 8 u |
After |
5 u + 150 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 300
=
50100 x 300
= 150
300 - 150 = 150
Total number of tickets sold on Tuesday
= 5 u + 150 + 18 u
= 23 u + 150
23 u + 150 = 1415
23 u = 1415 - 150
23 u = 1265
1 u = 1265 ÷ 23 = 55
Total number of tickets sold on Monday
= 10 u + 300 + 10 u
= 20 u + 300
= 20 x 55 + 150
= 1250
Amount collected from the sale of concert tickets on Monday
= 1250 x 12
= $15000
Answer(s): $15000