On Saturday, 470 more women than men attended a concert. On Sunday, the number of women decreased by 40% and the number of men increased by 70%. 811 audience attended the concert on Sunday. If each ticket cost $14, 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 |
470 more |
|
Before |
5x2 |
+ 470 |
10x1 |
Change |
- 2x2 |
- 188 |
+ 7x1 |
After |
3x2 |
+ 282 |
17x1 |
|
Women |
Men |
Before |
10 u + 470 |
10 u |
Change |
- 4 u - 188 |
+ 7 u |
After |
6 u + 282 |
17 u |
40% =
40100 =
25 70% =
70100 =
710 40% x 470
=
40100 x 470
= 188
470 - 188 = 282
Total number of tickets sold on Sunday
= 6 u + 282 + 17 u
= 23 u + 282
23 u + 282 = 811
23 u = 811 - 282
23 u = 529
1 u = 529 ÷ 23 = 23
Total number of tickets sold for the two days
= (10 u + 470) + 10 u + (6 u + 282) + 17 u
= 43 u + 752
= 43 x 23 + 752
= 1741
Amount collected from the sale of concert tickets for the two days
= 1741 x 14
= $24374
Answer(s): $24374