On Saturday, 530 more women than men attended a concert. On Sunday, the number of women decreased by 10% and the number of men increased by 50%. 1005 audience attended the concert on Sunday. 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 |
530 more |
|
Before |
10x1 |
+ 530 |
2x5 |
Change |
- 1x1 |
- 53 |
+ 1x5 |
After |
9x1 |
+ 477 |
3x5 |
|
Women |
Men |
Before |
10 u + 530 |
10 u |
Change |
- 1 u - 53 |
+ 5 u |
After |
9 u + 477 |
15 u |
10% =
10100 =
110 50% =
50100 =
12 10% x 530
=
10100 x 530
= 53
530 - 53 = 477
Total number of tickets sold on Sunday
= 9 u + 477 + 15 u
= 24 u + 477
24 u + 477 = 1005
24 u = 1005 - 477
24 u = 528
1 u = 528 ÷ 24 = 22
Total number of tickets sold for the two days
= (10 u + 530) + 10 u + (9 u + 477) + 15 u
= 44 u + 1007
= 44 x 22 + 1007
= 1975
Amount collected from the sale of concert tickets for the two days
= 1975 x 12
= $23700
Answer(s): $23700