On Thursday, 640 more women than men attended a concert. On Friday, the number of women decreased by 50% and the number of men increased by 80%. 1217 audience attended the concert on Friday. If each ticket cost $17, how much money was collected from the sale of concert tickets on Thursday?
|
Women |
Men |
Comparing between the women and the men at first |
640 more |
|
Before |
2x5 |
+ 640 |
5x2 |
Change |
- 1x5 |
- 320 |
+ 4x2 |
After |
1x5 |
+ 320 |
9x2 |
|
Women |
Men |
Before |
10 u + 640 |
10 u |
Change |
- 5 u - 320 |
+ 8 u |
After |
5 u + 320 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 640
=
50100 x 640
= 320
640 - 320 = 320
Total number of tickets sold on Friday
= 5 u + 320 + 18 u
= 23 u + 320
23 u + 320 = 1217
23 u = 1217 - 320
23 u = 897
1 u = 897 ÷ 23 = 39
Total number of tickets sold on Thursday
= 10 u + 640 + 10 u
= 20 u + 640
= 20 x 39 + 320
= 1100
Amount collected from the sale of concert tickets on Thursday
= 1100 x 17
= $18700
Answer(s): $18700