Tommy, Paul, Fred and Oscar shared $210. Oscar received
14 of the total amount of money received by Tommy, Paul and Fred. Tommy received
35 of the total amount for Paul and Fred. Paul received
12 as much money as Fred. If Paul gave all his money to Oscar, how much did Oscar have more than Tommy in the end?
Tommy |
Paul |
Fred |
Oscar |
Total |
4x6 |
1x6 |
5x6 |
3x3 |
5x3 |
|
|
|
1x5 |
2x5 |
|
|
9 u |
5 u |
10 u |
6 u |
30 u |
The total amount that Paul and Fred have is repeated. Make the total amount of Paul and Fred the same. LCM of 3 and 5 is 15.
The total amount that Tommy, Paul and Fred have is repeated. Make the total amount of Tommy, Paul and Fred the same. LCM of 24 and 4 is 24.
Total amount that Tommy, Paul, Fred and Oscar shared = 30 u
30 u = 210
1 u = 210 ÷ 30 = 7
|
Tommy |
Paul |
Fred |
Oscar |
Before |
9 u |
5 u |
10 u |
6 u |
Change |
|
- 5 u |
|
+ 5 u |
After |
9 u |
0 u |
10 u |
11 u |
Amount that Oscar had if Paul gave him all his money
= 6 u + 5 u
= 11 u
Amount that Oscar had more than Tommy
= 11 u - 9 u
= 2 u
= 2 x 7
= $14
Answer(s): $14