On Wednesday, 730 more women than men attended a concert. On Thursday, the number of women decreased by 10% and the number of men increased by 50%. 1185 audience attended the concert on Thursday. If each ticket cost $15, 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 |
730 more |
|
Before |
10x1 |
+ 730 |
2x5 |
Change |
- 1x1 |
- 73 |
+ 1x5 |
After |
9x1 |
+ 657 |
3x5 |
|
Women |
Men |
Before |
10 u + 730 |
10 u |
Change |
- 1 u - 73 |
+ 5 u |
After |
9 u + 657 |
15 u |
10% =
10100 =
110 50% =
50100 =
12 10% x 730
=
10100 x 730
= 73
730 - 73 = 657
Total number of tickets sold on Thursday
= 9 u + 657 + 15 u
= 24 u + 657
24 u + 657 = 1185
24 u = 1185 - 657
24 u = 528
1 u = 528 ÷ 24 = 22
Total number of tickets sold for the two days
= (10 u + 730) + 10 u + (9 u + 657) + 15 u
= 44 u + 1387
= 44 x 22 + 1387
= 2355
Amount collected from the sale of concert tickets for the two days
= 2355 x 15
= $35325
Answer(s): $35325