At first, Owen, Sabrina and Oscar had some candy canes in the ratio 5 : 3 : 4 respectively. Owen had 270 candy canes. Then he gave all his candy canes to Sabrina and Oscar. After receiving the candy canes from Owen, Sabrina and Oscar had the same number of candy canes. How many candy canes did Sabrina receive from Owen?

	Owen	Sabrina	Oscar	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 Sabrina had in the end 
= 12 u ÷ 2
= 6 u

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

5 u = 270

1 u = 270 ÷ 5 = 54

Number of candy canes that Sabrina received from Owen
= 6 u - 3 u
= 3 u
= 3 x 54
= 162

Answer(s): 162