On Thursday, 380 more women than men attended a concert. On Friday, the number of women decreased by 40% and the number of men increased by 50%. 984 audience attended the concert on Friday. If each ticket cost $6, how much money was collected from the sale of concert tickets for the two days?
|
Women |
Men |
Comparing between the women and the men at first |
380 more |
|
Before |
5x2 |
+ 380 |
2x5 |
Change |
- 2x2 |
- 152 |
+ 1x5 |
After |
3x2 |
+ 228 |
3x5 |
|
Women |
Men |
Before |
10 u + 380 |
10 u |
Change |
- 4 u - 152 |
+ 5 u |
After |
6 u + 228 |
15 u |
40% =
40100 =
25 50% =
50100 =
12 40% x 380
=
40100 x 380
= 152
380 - 152 = 228
Total number of tickets sold on Friday
= 6 u + 228 + 15 u
= 21 u + 228
21 u + 228 = 984
21 u = 984 - 228
21 u = 756
1 u = 756 ÷ 21 = 36
Total number of tickets sold for the two days
= (10 u + 380) + 10 u + (6 u + 228) + 15 u
= 41 u + 608
= 41 x 36 + 608
= 2084
Amount collected from the sale of concert tickets for the two days
= 2084 x 6
= $12504
Answer(s): $12504