At first, Liam, Linda and Howard had some caramel apples in the ratio 7 : 5 : 6 respectively. Liam had 266 caramel apples. Then he gave all his caramel apples to Linda and Howard. After receiving the caramel apples from Liam, Linda and Howard had the same number of caramel apples. How many caramel apples did Linda receive from Liam?

	Liam	Linda	Howard	Total
Before	7x1 = 7 u	5x1 = 5 u	6x1 = 6 u	18x1 = 18 u
Change	- 7 u	+ 7 u
After	0	1x9 = 9 u	1x9 = 9 u	2x9 = 18 u

The total number of caramel apples remains unchanged. Make the total number of caramel apples the same.  LCM of 2 and 18 is 18.

Total number of caramel apples = 18 u

Number of caramel apples that Linda had in the end 
= 18 u ÷ 2
= 9 u

Number of caramel apples that Liam had at first = 7 u 

7 u = 266

1 u = 266 ÷ 7 = 38

Number of caramel apples that Linda received from Liam
= 9 u - 5 u
= 4 u
= 4 x 38
= 152

Answer(s): 152