On Friday, 570 more women than men attended a concert. On Saturday, the number of women decreased by 10% and the number of men increased by 60%. 1038 audience attended the concert on Saturday. If each ticket cost $7, 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 |
570 more |
|
Before |
10x1 |
+ 570 |
5x2 |
Change |
- 1x1 |
- 57 |
+ 3x2 |
After |
9x1 |
+ 513 |
8x2 |
|
Women |
Men |
Before |
10 u + 570 |
10 u |
Change |
- 1 u - 57 |
+ 6 u |
After |
9 u + 513 |
16 u |
10% =
10100 =
110 60% =
60100 =
35 10% x 570
=
10100 x 570
= 57
570 - 57 = 513
Total number of tickets sold on Saturday
= 9 u + 513 + 16 u
= 25 u + 513
25 u + 513 = 1038
25 u = 1038 - 513
25 u = 525
1 u = 525 ÷ 25 = 21
Total number of tickets sold for the two days
= (10 u + 570) + 10 u + (9 u + 513) + 16 u
= 45 u + 1083
= 45 x 21 + 1083
= 2028
Amount collected from the sale of concert tickets for the two days
= 2028 x 7
= $14196
Answer(s): $14196