At first, Sean, Wendy and Sam had some caramel apples in the ratio 6 : 4 : 5 respectively. Sean had 444 caramel apples. Then he gave all his caramel apples to Wendy and Sam. After receiving the caramel apples from Sean, Wendy and Sam had the same number of caramel apples. How many caramel apples did Wendy receive from Sean?

	Sean	Wendy	Sam	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 caramel apples remains unchanged. Make the total number of caramel apples the same.  LCM of 2 and 15 is 30.

Total number of caramel apples = 30 u

Number of caramel apples that Wendy had in the end 
= 30 u ÷ 2
= 15 u

Number of caramel apples that Sean had at first = 6 u 

6 u = 444

1 u = 444 ÷ 6 = 74

Number of caramel apples that Wendy received from Sean
= 15 u - 8 u
= 7 u
= 7 x 74
= 518

Answer(s): 518