On Monday, 340 more women than men attended a concert. On Tuesday, the number of women decreased by 50% and the number of men increased by 80%. 1251 audience attended the concert on Tuesday. If each ticket cost $20, how much money was collected from the sale of concert tickets on Monday?
|
Women |
Men |
Comparing between the women and the men at first |
340 more |
|
Before |
2x5 |
+ 340 |
5x2 |
Change |
- 1x5 |
- 170 |
+ 4x2 |
After |
1x5 |
+ 170 |
9x2 |
|
Women |
Men |
Before |
10 u + 340 |
10 u |
Change |
- 5 u - 170 |
+ 8 u |
After |
5 u + 170 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 340
=
50100 x 340
= 170
340 - 170 = 170
Total number of tickets sold on Tuesday
= 5 u + 170 + 18 u
= 23 u + 170
23 u + 170 = 1251
23 u = 1251 - 170
23 u = 1081
1 u = 1081 ÷ 23 = 47
Total number of tickets sold on Monday
= 10 u + 340 + 10 u
= 20 u + 340
= 20 x 47 + 170
= 1110
Amount collected from the sale of concert tickets on Monday
= 1110 x 20
= $22200
Answer(s): $22200