On Thursday, 550 more men than women attended a concert. On Friday, the number of men decreased by 40% and the number of women increased by 50%. 645 audience attended the concert on Friday. If each ticket cost $8, how much money was collected from the sale of concert tickets for the two days?
|
Men |
Women |
Comparing between the men and the women at first |
550 more |
|
Before |
5x2 |
+ 550 |
2x5 |
Change |
- 2x2 |
- 220 |
+ 1x5 |
After |
3x2 |
+ 330 |
3x5 |
|
Men |
Women |
Before |
10 u + 550 |
10 u |
Change |
- 4 u - 220 |
+ 5 u |
After |
6 u + 330 |
15 u |
40% =
40100 =
25 50% =
50100 =
12 40% x 550
=
40100 x 550
= 220
550 - 220 = 330
Total number of tickets sold on Friday
= 6 u + 330 + 15 u
= 21 u + 330
21 u + 330 = 645
21 u = 645 - 330
21 u = 315
1 u = 315 ÷ 21 = 15
Total number of tickets sold for the two days
= (10 u + 550) + 10 u + (6 u + 330) + 15 u
= 41 u + 880
= 41 x 15 + 880
= 1495
Amount collected from the sale of concert tickets for the two days
= 1495 x 8
= $11960
Answer(s): $11960