On Wednesday, 480 more women than men attended a concert. On Thursday, the number of women decreased by 40% and the number of men increased by 70%. 1024 audience attended the concert on Thursday. If each ticket cost $18, 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 |
480 more |
|
Before |
5x2 |
+ 480 |
10x1 |
Change |
- 2x2 |
- 192 |
+ 7x1 |
After |
3x2 |
+ 288 |
17x1 |
|
Women |
Men |
Before |
10 u + 480 |
10 u |
Change |
- 4 u - 192 |
+ 7 u |
After |
6 u + 288 |
17 u |
40% =
40100 =
25 70% =
70100 =
710 40% x 480
=
40100 x 480
= 192
480 - 192 = 288
Total number of tickets sold on Thursday
= 6 u + 288 + 17 u
= 23 u + 288
23 u + 288 = 1024
23 u = 1024 - 288
23 u = 736
1 u = 736 ÷ 23 = 32
Total number of tickets sold for the two days
= (10 u + 480) + 10 u + (6 u + 288) + 17 u
= 43 u + 768
= 43 x 32 + 768
= 2144
Amount collected from the sale of concert tickets for the two days
= 2144 x 18
= $38592
Answer(s): $38592