On Saturday, 700 more women than men attended a concert. On Sunday, the number of women decreased by 10% and the number of men increased by 50%. 750 audience attended the concert on Sunday. If each ticket cost $7, 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 |
700 more |
|
Before |
10x1 |
+ 700 |
2x5 |
Change |
- 1x1 |
- 70 |
+ 1x5 |
After |
9x1 |
+ 630 |
3x5 |
|
Women |
Men |
Before |
10 u + 700 |
10 u |
Change |
- 1 u - 70 |
+ 5 u |
After |
9 u + 630 |
15 u |
10% =
10100 =
110 50% =
50100 =
12 10% x 700
=
10100 x 700
= 70
700 - 70 = 630
Total number of tickets sold on Sunday
= 9 u + 630 + 15 u
= 24 u + 630
24 u + 630 = 750
24 u = 750 - 630
24 u = 120
1 u = 120 ÷ 24 = 5
Total number of tickets sold for the two days
= (10 u + 700) + 10 u + (9 u + 630) + 15 u
= 44 u + 1330
= 44 x 5 + 1330
= 1550
Amount collected from the sale of concert tickets for the two days
= 1550 x 7
= $10850
Answer(s): $10850