Paul, Japheth, Ahmad and Brandon shared $420. Brandon received ¹₄ of the total amount of money received by Paul, Japheth and Ahmad. Paul received ³₅ of the total amount for Japheth and Ahmad. Japheth received ¹₂ as much money as Ahmad. If Ahmad gave all his money to Brandon, how much did Brandon have more than Japheth in the end?

Paul	Japheth	Ahmad	Brandon	Total
4x6			1x6	5x6
3x3	5x3
	1x5	2x5
9 u	5 u	10 u	6 u	30 u

The total amount that Japheth and Ahmad have is repeated.  Make the total amount of Japheth and Ahmad the same.  LCM of 3 and 5 is 15.

The total amount that Paul, Japheth and Ahmad have is repeated.  Make the total amount of Paul, Japheth and Ahmad the same. LCM of 24 and 4 is 24.

Total amount that Paul, Japheth, Ahmad and Brandon shared = 30 u

30 u = 420

1 u = 420 ÷ 30 = 14

	Paul	Japheth	Ahmad	Brandon
Before	9 u	5 u	10 u	6 u
Change			- 10 u	+ 10 u
After	9 u	5 u	0 u	16 u

Amount that Brandon had if Ahmad gave him all his money
= 6 u + 10 u
= 16 u

Amount that Brandon had more than Japheth
= 16 u - 5 u
= 11 u
= 11 x 14
= $154

Answer(s): $154