On Friday, 170 more women than men attended a concert. On Saturday, the number of women decreased by 10% and the number of men increased by 80%. 1422 audience attended the concert on Saturday. If each ticket cost $18, how much money was collected from the sale of concert tickets on Friday?
|
Women |
Men |
Comparing between the women and the men at first |
170 more |
|
Before |
10x1 |
+ 170 |
5x2 |
Change |
- 1x1 |
- 17 |
+ 4x2 |
After |
9x1 |
+ 153 |
9x2 |
|
Women |
Men |
Before |
10 u + 170 |
10 u |
Change |
- 1 u - 17 |
+ 8 u |
After |
9 u + 153 |
18 u |
10% =
10100 =
110 80% =
80100 =
45 10% x 170
=
10100 x 170
= 17
170 - 17 = 153
Total number of tickets sold on Saturday
= 9 u + 153 + 18 u
= 27 u + 153
27 u + 153 = 1422
27 u = 1422 - 153
27 u = 1269
1 u = 1269 ÷ 27 = 47
Total number of tickets sold on Friday
= 10 u + 170 + 10 u
= 20 u + 170
= 20 x 47 + 153
= 1093
Amount collected from the sale of concert tickets on Friday
= 1093 x 18
= $19674
Answer(s): $19674