Elijah, Ivan and Japheth have some stamps. The ratios of their stamps are as follows:

Elijah : (Elijah + Ivan + Japheth) = 1 : 5
Ivan : (Elijah + Japheth) = 1 : 3

Japheth has 30 stamps more than Ivan. In the end, Japheth gives away all he has to Ivan and Elijah so that both Ivan and Elijah end up with the same number of stamps, how many stamps has Ivan received from Japheth?

Ivan	Japheth	Elijah	Total
4x4		1x4	5x4
1x5	3x5		4x5
5 u	11 u	4 u	20 u

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

Number of stamps that Japheth has more than Ivan
= 11 u - 5 u
= 6 u

6 u = 30

1 u = 30 ÷ 6 = 5

	Ivan	Japheth	Elijah
Before	5 u	11 u	4 u
Change	+ 5 u	- 11 u	+ 6 u
After	10 u	0 u	10 u

Number of stamps that Ivan has received from Japheth
= 10 u - 5 u 
= 5 u
= 5 x 5
= 25

Answer(s): 25