Riordan, Japheth and George have some cards. The ratios of their cards are as follows:

Riordan : (Riordan + Japheth + George) = 1 : 4
Japheth : (Riordan + George) = 1 : 4

George has 70 cards more than Japheth. In the end, George gives away all he has to Japheth and Riordan so that both Japheth and Riordan end up with the same number of cards, how many cards has Japheth received from George?

Japheth	George	Riordan	Total
3x5		1x5	4x5
1x4	4x4		5x4
4 u	11 u	5 u	20 u

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

Number of cards that George has more than Japheth
= 11 u - 4 u
= 7 u

7 u = 70

1 u = 70 ÷ 7 = 10

	Japheth	George	Riordan
Before	4 u	11 u	5 u
Change	+ 6 u	- 11 u	+ 5 u
After	10 u	0 u	10 u

Number of cards that Japheth has received from George
= 10 u - 4 u 
= 6 u
= 6 x 10
= 60

Answer(s): 60