At first, Archie, Anna and Ryan had some candy canes in the ratio 7 : 5 : 6 respectively. Archie had 357 candy canes. Then he gave all his candy canes to Anna and Ryan. After receiving the candy canes from Archie, Anna and Ryan had the same number of candy canes. How many candy canes did Anna receive from Archie?

	Archie	Anna	Ryan	Total
Before	7x1 = 7 u	5x1 = 5 u	6x1 = 6 u	18x1 = 18 u
Change	- 7 u	+ 7 u
After	0	1x9 = 9 u	1x9 = 9 u	2x9 = 18 u

The total number of candy canes remains unchanged. Make the total number of candy canes the same.  LCM of 2 and 18 is 18.

Total number of candy canes = 18 u

Number of candy canes that Anna had in the end 
= 18 u ÷ 2
= 9 u

Number of candy canes that Archie had at first = 7 u 

7 u = 357

1 u = 357 ÷ 7 = 51

Number of candy canes that Anna received from Archie
= 9 u - 5 u
= 4 u
= 4 x 51
= 204

Answer(s): 204