On Friday, 410 more men than women attended a concert. On Saturday, the number of men decreased by 40% and the number of women increased by 70%. 1212 audience attended the concert on Saturday. If each ticket cost $9, how much money was collected from the sale of concert tickets for the two days?
|
Men |
Women |
Comparing between the men and the women at first |
410 more |
|
Before |
5x2 |
+ 410 |
10x1 |
Change |
- 2x2 |
- 164 |
+ 7x1 |
After |
3x2 |
+ 246 |
17x1 |
|
Men |
Women |
Before |
10 u + 410 |
10 u |
Change |
- 4 u - 164 |
+ 7 u |
After |
6 u + 246 |
17 u |
40% =
40100 =
25 70% =
70100 =
710 40% x 410
=
40100 x 410
= 164
410 - 164 = 246
Total number of tickets sold on Saturday
= 6 u + 246 + 17 u
= 23 u + 246
23 u + 246 = 1212
23 u = 1212 - 246
23 u = 966
1 u = 966 ÷ 23 = 42
Total number of tickets sold for the two days
= (10 u + 410) + 10 u + (6 u + 246) + 17 u
= 43 u + 656
= 43 x 42 + 656
= 2462
Amount collected from the sale of concert tickets for the two days
= 2462 x 9
= $22158
Answer(s): $22158