Tom, Carl, Japheth and Jack shared $357. Jack received ⁵₁₂ of the total amount of money received by Tom, Carl and Japheth. Tom received ⁴₅ of the total amount for Carl and Japheth. Carl received ¹₃ as much money as Japheth. If Carl gave all his money to Jack, how much did Jack have more than Tom in the end?

Tom	Carl	Japheth	Jack	Total
12x3			5x3	17x3
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	15 u	51 u

The total amount that Carl and Japheth have is repeated.  Make the total amount of Carl and Japheth the same.  LCM of 4 and 5 is 20.

The total amount that Tom, Carl and Japheth have is repeated.  Make the total amount of Tom, Carl and Japheth the same. LCM of 36 and 12 is 36.

Total amount that Tom, Carl, Japheth and Jack shared = 51 u

51 u = 357

1 u = 357 ÷ 51 = 7

	Tom	Carl	Japheth	Jack
Before	16 u	5 u	15 u	15 u
Change		- 5 u		+ 5 u
After	16 u	0 u	15 u	20 u

Amount that Jack had if Carl gave him all his money
= 15 u + 5 u
= 20 u

Amount that Jack had more than Tom
= 20 u - 16 u
= 4 u
= 4 x 7
= $28

Answer(s): $28