Jenson, Vaidev and Sam have some marbles. The ratios of their marbles are as follows:

Jenson : (Jenson + Vaidev + Sam) = 3 : 7
Vaidev : (Jenson + Sam) = 1 : 5

Sam has 110 marbles more than Vaidev. In the end, Sam gives away all he has to Vaidev and Jenson so that both Vaidev and Jenson end up with the same number of marbles, how many marbles has Vaidev received from Sam?

Vaidev	Sam	Jenson	Total
4x6		3x6	7x6
1x7	5x7		6x7
7 u	17 u	18 u	42 u

The total number of marbles is repeated.  Make the total number of marbles the same.  LCM of 7 and 6 is 42.

Number of marbles that Sam has more than Vaidev
= 17 u - 7 u
= 10 u

10 u = 110

1 u = 110 ÷ 10 = 11

	Vaidev	Sam	Jenson
Before	7 u	17 u	18 u
Change	+ 14 u	- 17 u	+ 3 u
After	21 u	0 u	21 u

Number of marbles that Vaidev has received from Sam
= 21 u - 7 u 
= 14 u
= 14 x 11
= 154

Answer(s): 154