At first, Warren, Elyse and Asher had some mochi balls in the ratio 8 : 6 : 7 respectively. Warren had 208 mochi balls. Then he gave all his mochi balls to Elyse and Asher. After receiving the mochi balls from Warren, Elyse and Asher had the same number of mochi balls. How many mochi balls did Elyse receive from Warren?

	Warren	Elyse	Asher	Total
Before	8x2 = 16 u	6x2 = 12 u	7x2 = 14 u	21x2 = 42 u
Change	- 8 u	+ 8 u
After	0	1x21 = 21 u	1x21 = 21 u	2x21 = 42 u

The total number of mochi balls remains unchanged. Make the total number of mochi balls the same.  LCM of 2 and 21 is 42.

Total number of mochi balls = 42 u

Number of mochi balls that Elyse had in the end 
= 42 u ÷ 2
= 21 u

Number of mochi balls that Warren had at first = 8 u 

8 u = 208

1 u = 208 ÷ 8 = 26

Number of mochi balls that Elyse received from Warren
= 21 u - 12 u
= 9 u
= 9 x 26
= 234

Answer(s): 234