At first, Cody, Emma and Howard had some caramel apples in the ratio 8 : 6 : 7 respectively. Cody had 296 caramel apples. Then he gave all his caramel apples to Emma and Howard. After receiving the caramel apples from Cody, Emma and Howard had the same number of caramel apples. How many caramel apples did Emma receive from Cody?

	Cody	Emma	Howard	Total
Before	8x2 = 16 u	6x2 = 12 u	7x2 = 14 u	21x2 = 42 u
Change	- 8 u	+ 8 u
After	0	1x21 = 21 u	1x21 = 21 u	2x21 = 42 u

The total number of caramel apples remains unchanged. Make the total number of caramel apples the same.  LCM of 2 and 21 is 42.

Total number of caramel apples = 42 u

Number of caramel apples that Emma had in the end 
= 42 u ÷ 2
= 21 u

Number of caramel apples that Cody had at first = 8 u 

8 u = 296

1 u = 296 ÷ 8 = 37

Number of caramel apples that Emma received from Cody
= 21 u - 12 u
= 9 u
= 9 x 37
= 333

Answer(s): 333