Julian, Paul, Oliver and Rael shared $300. Rael received ²₃ of the total amount of money received by Julian, Paul and Oliver. Julian received ¹₄ of the total amount for Paul and Oliver. Paul received ¹₂ as much money as Oliver. If Oliver gave all his money to Rael, how much did Rael have more than Paul in the end?

Julian	Paul	Oliver	Rael	Total
3x5			2x5	5x5
1x3	4x3
	1x4	2x4
3 u	4 u	8 u	10 u	25 u

The total amount that Paul and Oliver have is repeated.  Make the total amount of Paul and Oliver the same.  LCM of 3 and 4 is 12.

The total amount that Julian, Paul and Oliver have is repeated.  Make the total amount of Julian, Paul and Oliver the same. LCM of 15 and 3 is 15.

Total amount that Julian, Paul, Oliver and Rael shared = 25 u

25 u = 300

1 u = 300 ÷ 25 = 12

	Julian	Paul	Oliver	Rael
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 Rael had if Oliver gave him all his money
= 10 u + 8 u
= 18 u

Amount that Rael had more than Paul
= 18 u - 4 u
= 14 u
= 14 x 12
= $168

Answer(s): $168