At first, Rael, Xandra and Luke had some candy canes in the ratio 6 : 4 : 5 respectively. Rael had 186 candy canes. Then he gave all his candy canes to Xandra and Luke. After receiving the candy canes from Rael, Xandra and Luke had the same number of candy canes. How many candy canes did Xandra receive from Rael?

	Rael	Xandra	Luke	Total
Before	6x2 = 12 u	4x2 = 8 u	5x2 = 10 u	15x2 = 30 u
Change	- 6 u	+ 6 u
After	0	1x15 = 15 u	1x15 = 15 u	2x15 = 30 u

The total number of candy canes remains unchanged. Make the total number of candy canes the same.  LCM of 2 and 15 is 30.

Total number of candy canes = 30 u

Number of candy canes that Xandra had in the end 
= 30 u ÷ 2
= 15 u

Number of candy canes that Rael had at first = 6 u 

6 u = 186

1 u = 186 ÷ 6 = 31

Number of candy canes that Xandra received from Rael
= 15 u - 8 u
= 7 u
= 7 x 31
= 217

Answer(s): 217