Julian, Gabriel and Sean have some stamps. The ratios of their stamps are as follows:

Julian : (Julian + Gabriel + Sean) = 3 : 7
Gabriel : (Julian + Sean) = 1 : 5

Sean has 70 stamps more than Gabriel. In the end, Sean gives away all he has to Gabriel and Julian so that both Gabriel and Julian end up with the same number of stamps, how many stamps has Gabriel received from Sean?

Gabriel	Sean	Julian	Total
4x6		3x6	7x6
1x7	5x7		6x7
7 u	17 u	18 u	42 u

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

Number of stamps that Sean has more than Gabriel
= 17 u - 7 u
= 10 u

10 u = 70

1 u = 70 ÷ 10 = 7

	Gabriel	Sean	Julian
Before	7 u	17 u	18 u
Change	+ 14 u	- 17 u	+ 3 u
After	21 u	0 u	21 u

Number of stamps that Gabriel has received from Sean
= 21 u - 7 u 
= 14 u
= 14 x 7
= 98

Answer(s): 98