Justin, Luke and Jeremy have some stamps. The ratios of their stamps are as follows:

Justin : (Justin + Luke + Jeremy) = 2 : 5
Luke : (Justin + Jeremy) = 1 : 5

Jeremy has 32 stamps more than Luke. In the end, Jeremy gives away all he has to Luke and Justin so that both Luke and Justin end up with the same number of stamps, how many stamps has Justin received from Jeremy?

Luke	Jeremy	Justin	Total
3x6		2x6	5x6
1x5	5x5		6x5
5 u	13 u	12 u	30 u

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

Number of stamps that Jeremy has more than Luke
= 13 u - 5 u
= 8 u

8 u = 32

1 u = 32 ÷ 8 = 4

	Luke	Jeremy	Justin
Before	5 u	13 u	12 u
Change	+ 10 u	- 13 u	+ 3 u
After	15 u	0 u	15 u

Number of stamps that Justin has received from Jeremy
= 15 u - 12 u 
= 3 u
= 3 x 4
= 12

Answer(s): 12