At first, Rael, Emily and Cole had some candy canes in the ratio 5 : 3 : 4 respectively. Rael had 230 candy canes. Then he gave all his candy canes to Emily and Cole. After receiving the candy canes from Rael, Emily and Cole had the same number of candy canes. How many candy canes did Emily receive from Rael?

	Rael	Emily	Cole	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 Emily had in the end 
= 12 u ÷ 2
= 6 u

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

5 u = 230

1 u = 230 ÷ 5 = 46

Number of candy canes that Emily received from Rael
= 6 u - 3 u
= 3 u
= 3 x 46
= 138

Answer(s): 138