At first, Albert, Lucy and Daniel had some mochi balls in the ratio 5 : 3 : 4 respectively. Albert had 440 mochi balls. Then he gave all his mochi balls to Lucy and Daniel. After receiving the mochi balls from Albert, Lucy and Daniel had the same number of mochi balls. How many mochi balls did Lucy receive from Albert?

	Albert	Lucy	Daniel	Total
Before	5x1 = 5 u	3x1 = 3 u	4x1 = 4 u	12x1 = 12 u
Change	- 5 u	+ 5 u
After	0	1x6 = 6 u	1x6 = 6 u	2x6 = 12 u

The total number of mochi balls remains unchanged. Make the total number of mochi balls the same.  LCM of 2 and 12 is 12.

Total number of mochi balls = 12 u

Number of mochi balls that Lucy had in the end 
= 12 u ÷ 2
= 6 u

Number of mochi balls that Albert had at first = 5 u 

5 u = 440

1 u = 440 ÷ 5 = 88

Number of mochi balls that Lucy received from Albert
= 6 u - 3 u
= 3 u
= 3 x 88
= 264

Answer(s): 264