Jeremy, Elijah and Ethan have some erasers. The ratios of their erasers are as follows:

Jeremy : (Jeremy + Elijah + Ethan) = 1 : 4
Elijah : (Jeremy + Ethan) = 1 : 4

Ethan has 63 erasers more than Elijah. In the end, Ethan gives away all he has to Elijah and Jeremy so that both Elijah and Jeremy end up with the same number of erasers, how many erasers has Elijah received from Ethan?

Elijah	Ethan	Jeremy	Total
3x5		1x5	4x5
1x4	4x4		5x4
4 u	11 u	5 u	20 u

The total number of erasers is repeated.  Make the total number of erasers the same.  LCM of 4 and 5 is 20.

Number of erasers that Ethan has more than Elijah
= 11 u - 4 u
= 7 u

7 u = 63

1 u = 63 ÷ 7 = 9

	Elijah	Ethan	Jeremy
Before	4 u	11 u	5 u
Change	+ 6 u	- 11 u	+ 5 u
After	10 u	0 u	10 u

Number of erasers that Elijah has received from Ethan
= 10 u - 4 u 
= 6 u
= 6 x 9
= 54

Answer(s): 54