On Wednesday, 370 more women than men attended a concert. On Thursday, the number of women decreased by 10% and the number of men increased by 80%. 630 audience attended the concert on Thursday. If each ticket cost $5, how much money was collected from the sale of concert tickets on Wednesday?
|
Women |
Men |
Comparing between the women and the men at first |
370 more |
|
Before |
10x1 |
+ 370 |
5x2 |
Change |
- 1x1 |
- 37 |
+ 4x2 |
After |
9x1 |
+ 333 |
9x2 |
|
Women |
Men |
Before |
10 u + 370 |
10 u |
Change |
- 1 u - 37 |
+ 8 u |
After |
9 u + 333 |
18 u |
10% =
10100 =
110 80% =
80100 =
45 10% x 370
=
10100 x 370
= 37
370 - 37 = 333
Total number of tickets sold on Thursday
= 9 u + 333 + 18 u
= 27 u + 333
27 u + 333 = 630
27 u = 630 - 333
27 u = 297
1 u = 297 ÷ 27 = 11
Total number of tickets sold on Wednesday
= 10 u + 370 + 10 u
= 20 u + 370
= 20 x 11 + 333
= 553
Amount collected from the sale of concert tickets on Wednesday
= 553 x 5
= $2765
Answer(s): $2765