On Tuesday, 410 more women than men attended a concert. On Wednesday, the number of women decreased by 10% and the number of men increased by 60%. 969 audience attended the concert on Wednesday. If each ticket cost $17, 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 |
410 more |
|
Before |
10x1 |
+ 410 |
5x2 |
Change |
- 1x1 |
- 41 |
+ 3x2 |
After |
9x1 |
+ 369 |
8x2 |
|
Women |
Men |
Before |
10 u + 410 |
10 u |
Change |
- 1 u - 41 |
+ 6 u |
After |
9 u + 369 |
16 u |
10% =
10100 =
110 60% =
60100 =
35 10% x 410
=
10100 x 410
= 41
410 - 41 = 369
Total number of tickets sold on Wednesday
= 9 u + 369 + 16 u
= 25 u + 369
25 u + 369 = 969
25 u = 969 - 369
25 u = 600
1 u = 600 ÷ 25 = 24
Total number of tickets sold for the two days
= (10 u + 410) + 10 u + (9 u + 369) + 16 u
= 45 u + 779
= 45 x 24 + 779
= 1859
Amount collected from the sale of concert tickets for the two days
= 1859 x 17
= $31603
Answer(s): $31603