At first, Asher, Penelope and Oscar had some candy canes in the ratio 6 : 4 : 5 respectively. Asher had 198 candy canes. Then he gave all his candy canes to Penelope and Oscar. After receiving the candy canes from Asher, Penelope and Oscar had the same number of candy canes. How many candy canes did Penelope receive from Asher?

	Asher	Penelope	Oscar	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 Penelope had in the end 
= 30 u ÷ 2
= 15 u

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

6 u = 198

1 u = 198 ÷ 6 = 33

Number of candy canes that Penelope received from Asher
= 15 u - 8 u
= 7 u
= 7 x 33
= 231

Answer(s): 231