Reggie and Caden shared some stickers in the ratio of 3 : 8. After both each gave away 8 stickers to their cousin, the ratio of the number of stickers Reggie had to the total number of stickers left was 1 : 5. How many stickers did the two boys have in the end?

	Reggie	Caden	Difference
Before	3x3 = 9 u	8x3 = 24 u	5x3 = 15 u
Change	- 8	- 8
After	1x5 = 5 u	4x5 = 20 u	3x5 = 15 u

Number of stickers that Reggie and Caden each gave to their cousin is the same.

The difference in the number of stickers at first and in the end between Reggie and Caden remains unchanged.  Make the difference in the number of stickers the same.  LCM of 5 and 3 is 15.

Number of stickers that Reggie gave to their cousin
= 9 u - 5 u
= 4 u

4 u = 8

1 u = 8 ÷ 4 = 2

Number of stickers that the two boys had in the end
= 5 u + 20 u
= 25 u
= 25 x 2
= 50

Answer(s): 50