On Thursday, 240 more men than women attended a concert. On Friday, the number of men decreased by 10% and the number of women increased by 50%. 552 audience attended the concert on Friday. If each ticket cost $12, how much money was collected from the sale of concert tickets for the two days?
|
Men |
Women |
Comparing between the men and the women at first |
240 more |
|
Before |
10x1 |
+ 240 |
2x5 |
Change |
- 1x1 |
- 24 |
+ 1x5 |
After |
9x1 |
+ 216 |
3x5 |
|
Men |
Women |
Before |
10 u + 240 |
10 u |
Change |
- 1 u - 24 |
+ 5 u |
After |
9 u + 216 |
15 u |
10% =
10100 =
110 50% =
50100 =
12 10% x 240
=
10100 x 240
= 24
240 - 24 = 216
Total number of tickets sold on Friday
= 9 u + 216 + 15 u
= 24 u + 216
24 u + 216 = 552
24 u = 552 - 216
24 u = 336
1 u = 336 ÷ 24 = 14
Total number of tickets sold for the two days
= (10 u + 240) + 10 u + (9 u + 216) + 15 u
= 44 u + 456
= 44 x 14 + 456
= 1072
Amount collected from the sale of concert tickets for the two days
= 1072 x 12
= $12864
Answer(s): $12864