Tim and Dylan shared some stickers in the ratio of 3 : 8. After both each gave away 14 stickers to their cousin, the ratio of the number of stickers Tim had to the total number of stickers left was 1 : 6. How many stickers did the two boys have in the end?

	Tim	Dylan	Difference
Before	3x4 = 12 u	8x4 = 32 u	5x4 = 20 u
Change	- 14	- 14
After	1x5 = 5 u	5x5 = 25 u	4x5 = 20 u

Number of stickers that Tim and Dylan each gave to their cousin is the same.

The difference in the number of stickers at first and in the end between Tim and Dylan remains unchanged.  Make the difference in the number of stickers the same.  LCM of 5 and 4 is 20.

Number of stickers that Tim gave to their cousin
= 12 u - 5 u
= 7 u

7 u = 14

1 u = 14 ÷ 7 = 2

Number of stickers that the two boys had in the end
= 5 u + 25 u
= 30 u
= 30 x 2
= 60

Answer(s): 60