At first, Reggie, Hilda and Asher had some caramel apples in the ratio 6 : 4 : 5 respectively. Reggie had 378 caramel apples. Then he gave all his caramel apples to Hilda and Asher. After receiving the caramel apples from Reggie, Hilda and Asher had the same number of caramel apples. How many caramel apples did Hilda receive from Reggie?

	Reggie	Hilda	Asher	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 Hilda had in the end 
= 30 u ÷ 2
= 15 u

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

6 u = 378

1 u = 378 ÷ 6 = 63

Number of caramel apples that Hilda received from Reggie
= 15 u - 8 u
= 7 u
= 7 x 63
= 441

Answer(s): 441