On Tuesday, 150 more women than men attended a concert. On Wednesday, the number of women decreased by 40% and the number of men increased by 70%. 1309 audience attended the concert on Wednesday. If each ticket cost $12, how much money was collected from the sale of concert tickets for the two days?
|
Women |
Men |
Comparing between the women and the men at first |
150 more |
|
Before |
5x2 |
+ 150 |
10x1 |
Change |
- 2x2 |
- 60 |
+ 7x1 |
After |
3x2 |
+ 90 |
17x1 |
|
Women |
Men |
Before |
10 u + 150 |
10 u |
Change |
- 4 u - 60 |
+ 7 u |
After |
6 u + 90 |
17 u |
40% =
40100 =
25 70% =
70100 =
710 40% x 150
=
40100 x 150
= 60
150 - 60 = 90
Total number of tickets sold on Wednesday
= 6 u + 90 + 17 u
= 23 u + 90
23 u + 90 = 1309
23 u = 1309 - 90
23 u = 1219
1 u = 1219 ÷ 23 = 53
Total number of tickets sold for the two days
= (10 u + 150) + 10 u + (6 u + 90) + 17 u
= 43 u + 240
= 43 x 53 + 240
= 2519
Amount collected from the sale of concert tickets for the two days
= 2519 x 12
= $30228
Answer(s): $30228