Mark, Justin and Reggie have some stamps. The ratios of their stamps are as follows:

Mark : (Mark + Justin + Reggie) = 1 : 4
Justin : (Mark + Reggie) = 1 : 5

Reggie has 40 stamps more than Justin. In the end, Reggie gives away all he has to Justin and Mark so that both Justin and Mark end up with the same number of stamps, how many stamps has Justin received from Reggie?

Justin	Reggie	Mark	Total
3x3		1x3	4x3
1x2	5x2		6x2
2 u	7 u	3 u	12 u

The total number of stamps is repeated.  Make the total number of stamps the same.  LCM of 4 and 6 is 12.

Number of stamps that Reggie has more than Justin
= 7 u - 2 u
= 5 u

5 u = 40

1 u = 40 ÷ 5 = 8

	Justin	Reggie	Mark
Before	2 u	7 u	3 u
Change	+ 4 u	- 7 u	+ 3 u
After	6 u	0 u	6 u

Number of stamps that Justin has received from Reggie
= 6 u - 2 u 
= 4 u
= 4 x 8
= 32

Answer(s): 32