On Tuesday, 350 more women than men attended a concert. On Wednesday, the number of women decreased by 50% and the number of men increased by 80%. 1463 audience attended the concert on Wednesday. If each ticket cost $13, how much money was collected from the sale of concert tickets on Tuesday?
|
Women |
Men |
Comparing between the women and the men at first |
350 more |
|
Before |
2x5 |
+ 350 |
5x2 |
Change |
- 1x5 |
- 175 |
+ 4x2 |
After |
1x5 |
+ 175 |
9x2 |
|
Women |
Men |
Before |
10 u + 350 |
10 u |
Change |
- 5 u - 175 |
+ 8 u |
After |
5 u + 175 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 350
=
50100 x 350
= 175
350 - 175 = 175
Total number of tickets sold on Wednesday
= 5 u + 175 + 18 u
= 23 u + 175
23 u + 175 = 1463
23 u = 1463 - 175
23 u = 1288
1 u = 1288 ÷ 23 = 56
Total number of tickets sold on Tuesday
= 10 u + 350 + 10 u
= 20 u + 350
= 20 x 56 + 175
= 1295
Amount collected from the sale of concert tickets on Tuesday
= 1295 x 13
= $16835
Answer(s): $16835