Rael, Andy, Archie and Simon shared $84. Simon received ¹₆ of the total amount of money received by Rael, Andy and Archie. Rael received ⁴₅ of the total amount for Andy and Archie. Andy received ¹₃ as much money as Archie. If Archie gave all his money to Simon, how much did Simon have more than Andy in the end?

Rael	Andy	Archie	Simon	Total
6x6			1x6	7x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	6 u	42 u

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

The total amount that Rael, Andy and Archie have is repeated.  Make the total amount of Rael, Andy and Archie the same. LCM of 36 and 6 is 36.

Total amount that Rael, Andy, Archie and Simon shared = 42 u

42 u = 84

1 u = 84 ÷ 42 = 2

	Rael	Andy	Archie	Simon
Before	16 u	5 u	15 u	6 u
Change			- 15 u	+ 15 u
After	16 u	5 u	0 u	21 u

Amount that Simon had if Archie gave him all his money
= 6 u + 15 u
= 21 u

Amount that Simon had more than Andy
= 21 u - 5 u
= 16 u
= 16 x 2
= $32

Answer(s): $32