At first, Gabriel, Jen and Andy had some caramel apples in the ratio 6 : 4 : 5 respectively. Gabriel had 186 caramel apples. Then he gave all his caramel apples to Jen and Andy. After receiving the caramel apples from Gabriel, Jen and Andy had the same number of caramel apples. How many caramel apples did Jen receive from Gabriel?

	Gabriel	Jen	Andy	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 Jen had in the end 
= 30 u ÷ 2
= 15 u

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

6 u = 186

1 u = 186 ÷ 6 = 31

Number of caramel apples that Jen received from Gabriel
= 15 u - 8 u
= 7 u
= 7 x 31
= 217

Answer(s): 217