Julian, George and Perry have some marbles. The ratios of their marbles are as follows:

Julian : (Julian + George + Perry) = 1 : 4
George : (Julian + Perry) = 1 : 4

Perry has 49 marbles more than George. In the end, Perry gives away all he has to George and Julian so that both George and Julian end up with the same number of marbles, how many marbles has Julian received from Perry?

George	Perry	Julian	Total
3x5		1x5	4x5
1x4	4x4		5x4
4 u	11 u	5 u	20 u

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

Number of marbles that Perry has more than George
= 11 u - 4 u
= 7 u

7 u = 49

1 u = 49 ÷ 7 = 7

	George	Perry	Julian
Before	4 u	11 u	5 u
Change	+ 6 u	- 11 u	+ 5 u
After	10 u	0 u	10 u

Number of marbles that Julian has received from Perry
= 10 u - 5 u 
= 5 u
= 5 x 7
= 35

Answer(s): 35