On Monday, 570 more women than men attended a concert. On Tuesday, the number of women decreased by 10% and the number of men increased by 50%. 1257 audience attended the concert on Tuesday. If each ticket cost $13, 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 |
570 more |
|
Before |
10x1 |
+ 570 |
2x5 |
Change |
- 1x1 |
- 57 |
+ 1x5 |
After |
9x1 |
+ 513 |
3x5 |
|
Women |
Men |
Before |
10 u + 570 |
10 u |
Change |
- 1 u - 57 |
+ 5 u |
After |
9 u + 513 |
15 u |
10% =
10100 =
110 50% =
50100 =
12 10% x 570
=
10100 x 570
= 57
570 - 57 = 513
Total number of tickets sold on Tuesday
= 9 u + 513 + 15 u
= 24 u + 513
24 u + 513 = 1257
24 u = 1257 - 513
24 u = 744
1 u = 744 ÷ 24 = 31
Total number of tickets sold for the two days
= (10 u + 570) + 10 u + (9 u + 513) + 15 u
= 44 u + 1083
= 44 x 31 + 1083
= 2447
Amount collected from the sale of concert tickets for the two days
= 2447 x 13
= $31811
Answer(s): $31811