Glen and Owen shared some stickers in the ratio of 5 : 7. After both each gave away 45 stickers to their sister, the ratio of the number of stickers Glen had to the total number of stickers left was 1 : 6. How many stickers did the two boys have in the end?

	Glen	Owen	Difference
Before	5x2 = 10 u	7x2 = 14 u	2x2 = 4 u
Change	- 45	- 45
After	1x1 = 1 u	5x1 = 5 u	4x1 = 4 u

Number of stickers that Glen and Owen each gave to their sister is the same.

The difference in the number of stickers at first and in the end between Glen and Owen remains unchanged.  Make the difference in the number of stickers the same.  LCM of 2 and 4 is 4.

Number of stickers that Glen gave to their sister
= 10 u - 1 u
= 9 u

9 u = 45

1 u = 45 ÷ 9 = 5

Number of stickers that the two boys had in the end
= 1 u + 5 u
= 6 u
= 6 x 5
= 30

Answer(s): 30