On Friday, 130 more men than women attended a concert. On Saturday, the number of men decreased by 50% and the number of women increased by 80%. 502 audience attended the concert on Saturday. If each ticket cost $8, how much money was collected from the sale of concert tickets on Friday?
| |
Men |
Women |
Comparing between
the men and the
women at first |
130 more |
|
| Before |
2x5 |
+ 130 |
5x2 |
| Change |
- 1x5 |
- 65 |
+ 4x2 |
| After |
1x5 |
+ 65 |
9x2 |
| |
Men |
Women |
| Before |
10 u + 130 |
10 u |
| Change |
- 5 u - 65 |
+ 8 u |
| After |
5 u + 65 |
18 u |
50% =
50100 =
12 80% =
80100 =
45 50% x 130
=
50100 x 130
= 65
130 - 65 = 65
Total number of tickets sold on Saturday
= 5 u + 65 + 18 u
= 23 u + 65
23 u + 65 = 502
23 u = 502 - 65
23 u = 437
1 u = 437 ÷ 23 = 19
Total number of tickets sold on Friday
= 10 u + 130 + 10 u
= 20 u + 130
= 20 x 19 + 65
= 445
Amount collected from the sale of concert tickets on Friday
= 445 x 8
= $3560
Answer(s): $3560
