Perry, Reggie and Luis have some marbles. The ratios of their marbles are as follows:

Perry : (Perry + Reggie + Luis) = 2 : 5
Reggie : (Perry + Luis) = 1 : 5

Luis has 48 marbles more than Reggie. In the end, Luis gives away all he has to Reggie and Perry so that both Reggie and Perry end up with the same number of marbles, how many marbles has Perry received from Luis?

Reggie	Luis	Perry	Total
3x6		2x6	5x6
1x5	5x5		6x5
5 u	13 u	12 u	30 u

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

Number of marbles that Luis has more than Reggie
= 13 u - 5 u
= 8 u

8 u = 48

1 u = 48 ÷ 8 = 6

	Reggie	Luis	Perry
Before	5 u	13 u	12 u
Change	+ 10 u	- 13 u	+ 3 u
After	15 u	0 u	15 u

Number of marbles that Perry has received from Luis
= 15 u - 12 u 
= 3 u
= 3 x 6
= 18

Answer(s): 18