On Saturday, 620 more women than men attended a concert. On Sunday, the number of women decreased by 10% and the number of men increased by 50%. 1470 audience attended the concert on Sunday. If each ticket cost $15, 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 |
620 more |
|
Before |
10x1 |
+ 620 |
2x5 |
Change |
- 1x1 |
- 62 |
+ 1x5 |
After |
9x1 |
+ 558 |
3x5 |
|
Women |
Men |
Before |
10 u + 620 |
10 u |
Change |
- 1 u - 62 |
+ 5 u |
After |
9 u + 558 |
15 u |
10% =
10100 =
110 50% =
50100 =
12 10% x 620
=
10100 x 620
= 62
620 - 62 = 558
Total number of tickets sold on Sunday
= 9 u + 558 + 15 u
= 24 u + 558
24 u + 558 = 1470
24 u = 1470 - 558
24 u = 912
1 u = 912 ÷ 24 = 38
Total number of tickets sold for the two days
= (10 u + 620) + 10 u + (9 u + 558) + 15 u
= 44 u + 1178
= 44 x 38 + 1178
= 2850
Amount collected from the sale of concert tickets for the two days
= 2850 x 15
= $42750
Answer(s): $42750