Cody, Glen, Warren and Paul shared $288. Paul received
15 of the total amount of money received by Cody, Glen and Warren. Cody received
13 of the total amount for Glen and Warren. Glen received
23 as much money as Warren. If Warren gave all his money to Paul, how much did Paul have more than Glen in the end?
Cody |
Glen |
Warren |
Paul |
Total |
5x4 |
1x4 |
6x4 |
1x5 |
3x5 |
|
|
|
2x3 |
3x3 |
|
|
5 u |
6 u |
9 u |
4 u |
24 u |
The total amount that Glen and Warren have is repeated. Make the total amount of Glen and Warren the same. LCM of 5 and 3 is 15.
The total amount that Cody, Glen and Warren have is repeated. Make the total amount of Cody, Glen and Warren the same. LCM of 20 and 5 is 20.
Total amount that Cody, Glen, Warren and Paul shared = 24 u
24 u = 288
1 u = 288 ÷ 24 = 12
|
Cody |
Glen |
Warren |
Paul |
Before |
5 u |
6 u |
9 u |
4 u |
Change |
|
|
- 9 u |
+ 9 u |
After |
5 u |
6 u |
0 u |
13 u |
Amount that Paul had if Warren gave him all his money
= 4 u + 9 u
= 13 u
Amount that Paul had more than Glen
= 13 u - 6 u
= 7 u
= 7 x 12
= $84
Answer(s): $84