On Thursday, 440 more women than men attended a concert. On Friday, the number of women decreased by 50% and the number of men increased by 80%. 1301 audience attended the concert on Friday. If each ticket cost $9, how much money was collected from the sale of concert tickets on Thursday?
|
Women |
Men |
Comparing between the women and the men at first |
440 more |
|
Before |
2x5 |
+ 440 |
5x2 |
Change |
- 1x5 |
- 220 |
+ 4x2 |
After |
1x5 |
+ 220 |
9x2 |
|
Women |
Men |
Before |
10 u + 440 |
10 u |
Change |
- 5 u - 220 |
+ 8 u |
After |
5 u + 220 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 440
=
50100 x 440
= 220
440 - 220 = 220
Total number of tickets sold on Friday
= 5 u + 220 + 18 u
= 23 u + 220
23 u + 220 = 1301
23 u = 1301 - 220
23 u = 1081
1 u = 1081 ÷ 23 = 47
Total number of tickets sold on Thursday
= 10 u + 440 + 10 u
= 20 u + 440
= 20 x 47 + 220
= 1160
Amount collected from the sale of concert tickets on Thursday
= 1160 x 9
= $10440
Answer(s): $10440