Paul, Seth, Fabian and Henry shared $336. Henry received
15 of the total amount of money received by Paul, Seth and Fabian. Paul received
13 of the total amount for Seth and Fabian. Seth received
23 as much money as Fabian. If Seth gave all his money to Henry, how much did Henry have more than Paul in the end?
Paul |
Seth |
Fabian |
Henry |
Total |
5x4 |
1x4 |
6x4 |
1x5 |
3x5 |
|
|
|
2x3 |
3x3 |
|
|
5 u |
6 u |
9 u |
4 u |
24 u |
The total amount that Seth and Fabian have is repeated. Make the total amount of Seth and Fabian the same. LCM of 5 and 3 is 15.
The total amount that Paul, Seth and Fabian have is repeated. Make the total amount of Paul, Seth and Fabian the same. LCM of 20 and 5 is 20.
Total amount that Paul, Seth, Fabian and Henry shared = 24 u
24 u = 336
1 u = 336 ÷ 24 = 14
|
Paul |
Seth |
Fabian |
Henry |
Before |
5 u |
6 u |
9 u |
4 u |
Change |
|
- 6 u |
|
+ 6 u |
After |
5 u |
0 u |
9 u |
10 u |
Amount that Henry had if Seth gave him all his money
= 4 u + 6 u
= 10 u
Amount that Henry had more than Paul
= 10 u - 5 u
= 5 u
= 5 x 14
= $70
Answer(s): $70