Owen, Howard, Dylan and Lee shared $168. Lee received
15 of the total amount of money received by Owen, Howard and Dylan. Owen received
13 of the total amount for Howard and Dylan. Howard received
23 as much money as Dylan. If Howard gave all his money to Lee, how much did Lee have more than Owen in the end?
Owen |
Howard |
Dylan |
Lee |
Total |
5x4 |
1x4 |
6x4 |
1x5 |
3x5 |
|
|
|
2x3 |
3x3 |
|
|
5 u |
6 u |
9 u |
4 u |
24 u |
The total amount that Howard and Dylan have is repeated. Make the total amount of Howard and Dylan the same. LCM of 5 and 3 is 15.
The total amount that Owen, Howard and Dylan have is repeated. Make the total amount of Owen, Howard and Dylan the same. LCM of 20 and 5 is 20.
Total amount that Owen, Howard, Dylan and Lee shared = 24 u
24 u = 168
1 u = 168 ÷ 24 = 7
|
Owen |
Howard |
Dylan |
Lee |
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 Lee had if Howard gave him all his money
= 4 u + 6 u
= 10 u
Amount that Lee had more than Owen
= 10 u - 5 u
= 5 u
= 5 x 7
= $35
Answer(s): $35