At first, Ivan, Jaslyn and Daniel had some candy canes in the ratio 9 : 7 : 8 respectively. Ivan had 414 candy canes. Then he gave all his candy canes to Jaslyn and Daniel. After receiving the candy canes from Ivan, Jaslyn and Daniel had the same number of candy canes. How many candy canes did Jaslyn receive from Ivan?

	Ivan	Jaslyn	Daniel	Total
Before	9x1 = 9 u	7x1 = 7 u	8x1 = 8 u	24x1 = 24 u
Change	- 9 u	+ 9 u
After	0	1x12 = 12 u	1x12 = 12 u	2x12 = 24 u

The total number of candy canes remains unchanged. Make the total number of candy canes the same.  LCM of 2 and 24 is 24.

Total number of candy canes = 24 u

Number of candy canes that Jaslyn had in the end 
= 24 u ÷ 2
= 12 u

Number of candy canes that Ivan had at first = 9 u 

9 u = 414

1 u = 414 ÷ 9 = 46

Number of candy canes that Jaslyn received from Ivan
= 12 u - 7 u
= 5 u
= 5 x 46
= 230

Answer(s): 230