On Tuesday, 760 more men than women attended a concert. On Wednesday, the number of men decreased by 10% and the number of women increased by 50%. 900 audience attended the concert on Wednesday. If each ticket cost $16, 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 |
760 more |
|
Before |
10x1 |
+ 760 |
2x5 |
Change |
- 1x1 |
- 76 |
+ 1x5 |
After |
9x1 |
+ 684 |
3x5 |
|
Men |
Women |
Before |
10 u + 760 |
10 u |
Change |
- 1 u - 76 |
+ 5 u |
After |
9 u + 684 |
15 u |
10% =
10100 =
110 50% =
50100 =
12 10% x 760
=
10100 x 760
= 76
760 - 76 = 684
Total number of tickets sold on Wednesday
= 9 u + 684 + 15 u
= 24 u + 684
24 u + 684 = 900
24 u = 900 - 684
24 u = 216
1 u = 216 ÷ 24 = 9
Total number of tickets sold for the two days
= (10 u + 760) + 10 u + (9 u + 684) + 15 u
= 44 u + 1444
= 44 x 9 + 1444
= 1840
Amount collected from the sale of concert tickets for the two days
= 1840 x 16
= $29440
Answer(s): $29440