Seth, Jack, Oliver and Oscar shared $125. Oscar received
23 of the total amount of money received by Seth, Jack and Oliver. Seth received
14 of the total amount for Jack and Oliver. Jack received
12 as much money as Oliver. If Oliver gave all his money to Oscar, how much did Oscar have more than Jack in the end?
Seth |
Jack |
Oliver |
Oscar |
Total |
3x5 |
2x5 |
5x5 |
1x3 |
4x3 |
|
|
|
1x4 |
2x4 |
|
|
3 u |
4 u |
8 u |
10 u |
25 u |
The total amount that Jack and Oliver have is repeated. Make the total amount of Jack and Oliver the same. LCM of 3 and 4 is 12.
The total amount that Seth, Jack and Oliver have is repeated. Make the total amount of Seth, Jack and Oliver the same. LCM of 15 and 3 is 15.
Total amount that Seth, Jack, Oliver and Oscar shared = 25 u
25 u = 125
1 u = 125 ÷ 25 = 5
|
Seth |
Jack |
Oliver |
Oscar |
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 Oscar had if Oliver gave him all his money
= 10 u + 8 u
= 18 u
Amount that Oscar had more than Jack
= 18 u - 4 u
= 14 u
= 14 x 5
= $70
Answer(s): $70