On Friday, 420 more women than men attended a concert. On Saturday, the number of women decreased by 10% and the number of men increased by 60%. 528 audience attended the concert on Saturday. 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 |
420 more |
|
Before |
10x1 |
+ 420 |
5x2 |
Change |
- 1x1 |
- 42 |
+ 3x2 |
After |
9x1 |
+ 378 |
8x2 |
|
Women |
Men |
Before |
10 u + 420 |
10 u |
Change |
- 1 u - 42 |
+ 6 u |
After |
9 u + 378 |
16 u |
10% =
10100 =
110 60% =
60100 =
35 10% x 420
=
10100 x 420
= 42
420 - 42 = 378
Total number of tickets sold on Saturday
= 9 u + 378 + 16 u
= 25 u + 378
25 u + 378 = 528
25 u = 528 - 378
25 u = 150
1 u = 150 ÷ 25 = 6
Total number of tickets sold for the two days
= (10 u + 420) + 10 u + (9 u + 378) + 16 u
= 45 u + 798
= 45 x 6 + 798
= 1068
Amount collected from the sale of concert tickets for the two days
= 1068 x 14
= $14952
Answer(s): $14952