On Thursday, 110 more women than men attended a concert. On Friday, the number of women decreased by 40% and the number of men increased by 50%. 717 audience attended the concert on Friday. If each ticket cost $19, 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 |
110 more |
|
Before |
5x2 |
+ 110 |
2x5 |
Change |
- 2x2 |
- 44 |
+ 1x5 |
After |
3x2 |
+ 66 |
3x5 |
|
Women |
Men |
Before |
10 u + 110 |
10 u |
Change |
- 4 u - 44 |
+ 5 u |
After |
6 u + 66 |
15 u |
40% =
40100 =
25 50% =
50100 =
12 40% x 110
=
40100 x 110
= 44
110 - 44 = 66
Total number of tickets sold on Friday
= 6 u + 66 + 15 u
= 21 u + 66
21 u + 66 = 717
21 u = 717 - 66
21 u = 651
1 u = 651 ÷ 21 = 31
Total number of tickets sold for the two days
= (10 u + 110) + 10 u + (6 u + 66) + 15 u
= 41 u + 176
= 41 x 31 + 176
= 1447
Amount collected from the sale of concert tickets for the two days
= 1447 x 19
= $27493
Answer(s): $27493