On Tuesday, 630 more women than men attended a concert. On Wednesday, the number of women decreased by 10% and the number of men increased by 50%. 687 audience attended the concert on Wednesday. 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 |
630 more |
|
Before |
10x1 |
+ 630 |
2x5 |
Change |
- 1x1 |
- 63 |
+ 1x5 |
After |
9x1 |
+ 567 |
3x5 |
|
Women |
Men |
Before |
10 u + 630 |
10 u |
Change |
- 1 u - 63 |
+ 5 u |
After |
9 u + 567 |
15 u |
10% =
10100 =
110 50% =
50100 =
12 10% x 630
=
10100 x 630
= 63
630 - 63 = 567
Total number of tickets sold on Wednesday
= 9 u + 567 + 15 u
= 24 u + 567
24 u + 567 = 687
24 u = 687 - 567
24 u = 120
1 u = 120 ÷ 24 = 5
Total number of tickets sold for the two days
= (10 u + 630) + 10 u + (9 u + 567) + 15 u
= 44 u + 1197
= 44 x 5 + 1197
= 1417
Amount collected from the sale of concert tickets for the two days
= 1417 x 5
= $7085
Answer(s): $7085