Henry, Cody, Oscar and Fred shared $75. Fred received
23 of the total amount of money received by Henry, Cody and Oscar. Henry received
14 of the total amount for Cody and Oscar. Cody received
12 as much money as Oscar. If Oscar gave all his money to Fred, how much did Fred have more than Cody in the end?
Henry |
Cody |
Oscar |
Fred |
Total |
3x5 |
2x5 |
5x5 |
1x3 |
4x3 |
|
|
|
1x4 |
2x4 |
|
|
3 u |
4 u |
8 u |
10 u |
25 u |
The total amount that Cody and Oscar have is repeated. Make the total amount of Cody and Oscar the same. LCM of 3 and 4 is 12.
The total amount that Henry, Cody and Oscar have is repeated. Make the total amount of Henry, Cody and Oscar the same. LCM of 15 and 3 is 15.
Total amount that Henry, Cody, Oscar and Fred shared = 25 u
25 u = 75
1 u = 75 ÷ 25 = 3
|
Henry |
Cody |
Oscar |
Fred |
Before |
3 u |
4 u |
8 u |
10 u |
Change |
|
|
- 8 u |
+ 8 u |
After |
3 u |
4 u |
0 u |
18 u |
Amount that Fred had if Oscar gave him all his money
= 10 u + 8 u
= 18 u
Amount that Fred had more than Cody
= 18 u - 4 u
= 14 u
= 14 x 3
= $42
Answer(s): $42