Justin and Wesley shared some stickers in the ratio of 5 : 8. After both each gave away 119 stickers to their sister, the ratio of the number of stickers Justin had to the total number of stickers left was 1 : 6. How many stickers did the two boys have in the end?

	Justin	Wesley	Difference
Before	5x4 = 20 u	8x4 = 32 u	3x4 = 12 u
Change	- 119	- 119
After	1x3 = 3 u	5x3 = 15 u	4x3 = 12 u

Number of stickers that Justin and Wesley each gave to their sister is the same.

The difference in the number of stickers at first and in the end between Justin and Wesley remains unchanged.  Make the difference in the number of stickers the same.  LCM of 3 and 4 is 12.

Number of stickers that Justin gave to their sister
= 20 u - 3 u
= 17 u

17 u = 119

1 u = 119 ÷ 17 = 7

Number of stickers that the two boys had in the end
= 3 u + 15 u
= 18 u
= 18 x 7
= 126

Answer(s): 126