On Thursday, 650 more women than men attended a concert. On Friday, the number of women decreased by 40% and the number of men increased by 70%. 620 audience attended the concert on Friday. If each ticket cost $19, 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 |
650 more |
|
Before |
5x2 |
+ 650 |
10x1 |
Change |
- 2x2 |
- 260 |
+ 7x1 |
After |
3x2 |
+ 390 |
17x1 |
|
Women |
Men |
Before |
10 u + 650 |
10 u |
Change |
- 4 u - 260 |
+ 7 u |
After |
6 u + 390 |
17 u |
40% =
40100 =
25 70% =
70100 =
710 40% x 650
=
40100 x 650
= 260
650 - 260 = 390
Total number of tickets sold on Friday
= 6 u + 390 + 17 u
= 23 u + 390
23 u + 390 = 620
23 u = 620 - 390
23 u = 230
1 u = 230 ÷ 23 = 10
Total number of tickets sold for the two days
= (10 u + 650) + 10 u + (6 u + 390) + 17 u
= 43 u + 1040
= 43 x 10 + 1040
= 1470
Amount collected from the sale of concert tickets for the two days
= 1470 x 19
= $27930
Answer(s): $27930