At first, Jenson, Jean and Flynn had some lollipops in the ratio 7 : 5 : 6 respectively. Jenson had 378 lollipops. Then he gave all his lollipops to Jean and Flynn. After receiving the lollipops from Jenson, Jean and Flynn had the same number of lollipops. How many lollipops did Jean receive from Jenson?

	Jenson	Jean	Flynn	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 lollipops remains unchanged. Make the total number of lollipops the same.  LCM of 2 and 18 is 18.

Total number of lollipops = 18 u

Number of lollipops that Jean had in the end 
= 18 u ÷ 2
= 9 u

Number of lollipops that Jenson had at first = 7 u 

7 u = 378

1 u = 378 ÷ 7 = 54

Number of lollipops that Jean received from Jenson
= 9 u - 5 u
= 4 u
= 4 x 54
= 216

Answer(s): 216