Mark, Will, Vaidev and Archie shared $462. Archie received ³₄ of the total amount of money received by Mark, Will and Vaidev. Mark received ³₅ of the total amount for Will and Vaidev. Will received ¹₂ as much money as Vaidev. If Vaidev gave all his money to Archie, how much did Archie have more than Will in the end?

Mark	Will	Vaidev	Archie	Total
4x6			3x6	7x6
3x3	5x3
	1x5	2x5
9 u	5 u	10 u	18 u	42 u

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

The total amount that Mark, Will and Vaidev have is repeated.  Make the total amount of Mark, Will and Vaidev the same. LCM of 24 and 4 is 24.

Total amount that Mark, Will, Vaidev and Archie shared = 42 u

42 u = 462

1 u = 462 ÷ 42 = 11

	Mark	Will	Vaidev	Archie
Before	9 u	5 u	10 u	18 u
Change			- 10 u	+ 10 u
After	9 u	5 u	0 u	28 u

Amount that Archie had if Vaidev gave him all his money
= 18 u + 10 u
= 28 u

Amount that Archie had more than Will
= 28 u - 5 u
= 23 u
= 23 x 11
= $253

Answer(s): $253