On Wednesday, 380 more women than men attended a concert. On Thursday, the number of women decreased by 40% and the number of men increased by 70%. 1286 audience attended the concert on Thursday. If each ticket cost $8, 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 |
10x1 |
Change |
- 2x2 |
- 152 |
+ 7x1 |
After |
3x2 |
+ 228 |
17x1 |
|
Women |
Men |
Before |
10 u + 380 |
10 u |
Change |
- 4 u - 152 |
+ 7 u |
After |
6 u + 228 |
17 u |
40% =
40100 =
25 70% =
70100 =
710 40% x 380
=
40100 x 380
= 152
380 - 152 = 228
Total number of tickets sold on Thursday
= 6 u + 228 + 17 u
= 23 u + 228
23 u + 228 = 1286
23 u = 1286 - 228
23 u = 1058
1 u = 1058 ÷ 23 = 46
Total number of tickets sold for the two days
= (10 u + 380) + 10 u + (6 u + 228) + 17 u
= 43 u + 608
= 43 x 46 + 608
= 2586
Amount collected from the sale of concert tickets for the two days
= 2586 x 8
= $20688
Answer(s): $20688