On Tuesday, 330 more women than men attended a concert. On Wednesday, the number of women decreased by 10% and the number of men increased by 50%. 1017 audience attended the concert on Wednesday. If each ticket cost $10, 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 |
330 more |
|
Before |
10x1 |
+ 330 |
2x5 |
Change |
- 1x1 |
- 33 |
+ 1x5 |
After |
9x1 |
+ 297 |
3x5 |
|
Women |
Men |
Before |
10 u + 330 |
10 u |
Change |
- 1 u - 33 |
+ 5 u |
After |
9 u + 297 |
15 u |
10% =
10100 =
110 50% =
50100 =
12 10% x 330
=
10100 x 330
= 33
330 - 33 = 297
Total number of tickets sold on Wednesday
= 9 u + 297 + 15 u
= 24 u + 297
24 u + 297 = 1017
24 u = 1017 - 297
24 u = 720
1 u = 720 ÷ 24 = 30
Total number of tickets sold for the two days
= (10 u + 330) + 10 u + (9 u + 297) + 15 u
= 44 u + 627
= 44 x 30 + 627
= 1947
Amount collected from the sale of concert tickets for the two days
= 1947 x 10
= $19470
Answer(s): $19470