At first, Ian, Gabby and Peter had some candy canes in the ratio 5 : 3 : 4 respectively. Ian had 275 candy canes. Then he gave all his candy canes to Gabby and Peter. After receiving the candy canes from Ian, Gabby and Peter had the same number of candy canes. How many candy canes did Gabby receive from Ian?

	Ian	Gabby	Peter	Total
Before	5x1 = 5 u	3x1 = 3 u	4x1 = 4 u	12x1 = 12 u
Change	- 5 u	+ 5 u
After	0	1x6 = 6 u	1x6 = 6 u	2x6 = 12 u

The total number of candy canes remains unchanged. Make the total number of candy canes the same.  LCM of 2 and 12 is 12.

Total number of candy canes = 12 u

Number of candy canes that Gabby had in the end 
= 12 u ÷ 2
= 6 u

Number of candy canes that Ian had at first = 5 u 

5 u = 275

1 u = 275 ÷ 5 = 55

Number of candy canes that Gabby received from Ian
= 6 u - 3 u
= 3 u
= 3 x 55
= 165

Answer(s): 165