Flynn, Luis and Riordan have some marbles. The ratios of their marbles are as follows:

Flynn : (Flynn + Luis + Riordan) = 2 : 5
Luis : (Flynn + Riordan) = 1 : 3

Riordan has 14 marbles more than Luis. In the end, Riordan gives away all he has to Luis and Flynn so that both Luis and Flynn end up with the same number of marbles, how many marbles has Luis received from Riordan?

Luis	Riordan	Flynn	Total
3x4		2x4	5x4
1x5	3x5		4x5
5 u	7 u	8 u	20 u

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

Number of marbles that Riordan has more than Luis
= 7 u - 5 u
= 2 u

2 u = 14

1 u = 14 ÷ 2 = 7

	Luis	Riordan	Flynn
Before	5 u	7 u	8 u
Change	+ 5 u	- 7 u	+ 2 u
After	10 u	0 u	10 u

Number of marbles that Luis has received from Riordan
= 10 u - 5 u 
= 5 u
= 5 x 7
= 35

Answer(s): 35