Archie, George and Rael have some erasers. The ratios of their erasers are as follows:

Archie : (Archie + George + Rael) = 1 : 5
George : (Archie + Rael) = 1 : 5

Rael has 126 erasers more than George. In the end, Rael gives away all he has to George and Archie so that both George and Archie end up with the same number of erasers, how many erasers has Archie received from Rael?

George	Rael	Archie	Total
4x6		1x6	5x6
1x5	5x5		6x5
5 u	19 u	6 u	30 u

The total number of erasers is repeated.  Make the total number of erasers the same.  LCM of 5 and 6 is 30.

Number of erasers that Rael has more than George
= 19 u - 5 u
= 14 u

14 u = 126

1 u = 126 ÷ 14 = 9

	George	Rael	Archie
Before	5 u	19 u	6 u
Change	+ 10 u	- 19 u	+ 9 u
After	15 u	0 u	15 u

Number of erasers that Archie has received from Rael
= 15 u - 6 u 
= 9 u
= 9 x 9
= 81

Answer(s): 81