On Saturday, 450 more women than men attended a concert. On Sunday, the number of women decreased by 10% and the number of men increased by 50%. 1437 audience attended the concert on Sunday. If each ticket cost $5, 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 |
450 more |
|
Before |
10x1 |
+ 450 |
2x5 |
Change |
- 1x1 |
- 45 |
+ 1x5 |
After |
9x1 |
+ 405 |
3x5 |
|
Women |
Men |
Before |
10 u + 450 |
10 u |
Change |
- 1 u - 45 |
+ 5 u |
After |
9 u + 405 |
15 u |
10% =
10100 =
110 50% =
50100 =
12 10% x 450
=
10100 x 450
= 45
450 - 45 = 405
Total number of tickets sold on Sunday
= 9 u + 405 + 15 u
= 24 u + 405
24 u + 405 = 1437
24 u = 1437 - 405
24 u = 1032
1 u = 1032 ÷ 24 = 43
Total number of tickets sold for the two days
= (10 u + 450) + 10 u + (9 u + 405) + 15 u
= 44 u + 855
= 44 x 43 + 855
= 2747
Amount collected from the sale of concert tickets for the two days
= 2747 x 5
= $13735
Answer(s): $13735