On Saturday, 490 more women than men attended a concert. On Sunday, the number of women decreased by 10% and the number of men increased by 60%. 1141 audience attended the concert on Sunday. 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 |
490 more |
|
Before |
10x1 |
+ 490 |
5x2 |
Change |
- 1x1 |
- 49 |
+ 3x2 |
After |
9x1 |
+ 441 |
8x2 |
|
Women |
Men |
Before |
10 u + 490 |
10 u |
Change |
- 1 u - 49 |
+ 6 u |
After |
9 u + 441 |
16 u |
10% =
10100 =
110 60% =
60100 =
35 10% x 490
=
10100 x 490
= 49
490 - 49 = 441
Total number of tickets sold on Sunday
= 9 u + 441 + 16 u
= 25 u + 441
25 u + 441 = 1141
25 u = 1141 - 441
25 u = 700
1 u = 700 ÷ 25 = 28
Total number of tickets sold for the two days
= (10 u + 490) + 10 u + (9 u + 441) + 16 u
= 45 u + 931
= 45 x 28 + 931
= 2191
Amount collected from the sale of concert tickets for the two days
= 2191 x 13
= $28483
Answer(s): $28483