On Thursday, 480 more men than women attended a concert. On Friday, the number of men decreased by 50% and the number of women increased by 80%. 1321 audience attended the concert on Friday. If each ticket cost $19, how much money was collected from the sale of concert tickets on Thursday?
|
Men |
Women |
Comparing between the men and the women at first |
480 more |
|
Before |
2x5 |
+ 480 |
5x2 |
Change |
- 1x5 |
- 240 |
+ 4x2 |
After |
1x5 |
+ 240 |
9x2 |
|
Men |
Women |
Before |
10 u + 480 |
10 u |
Change |
- 5 u - 240 |
+ 8 u |
After |
5 u + 240 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 480
=
50100 x 480
= 240
480 - 240 = 240
Total number of tickets sold on Friday
= 5 u + 240 + 18 u
= 23 u + 240
23 u + 240 = 1321
23 u = 1321 - 240
23 u = 1081
1 u = 1081 ÷ 23 = 47
Total number of tickets sold on Thursday
= 10 u + 480 + 10 u
= 20 u + 480
= 20 x 47 + 240
= 1180
Amount collected from the sale of concert tickets on Thursday
= 1180 x 19
= $22420
Answer(s): $22420