At first, Jeremy, Nicole and Vaidev had some mochi balls in the ratio 8 : 6 : 7 respectively. Jeremy had 224 mochi balls. Then he gave all his mochi balls to Nicole and Vaidev. After receiving the mochi balls from Jeremy, Nicole and Vaidev had the same number of mochi balls. How many mochi balls did Nicole receive from Jeremy?

	Jeremy	Nicole	Vaidev	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 Nicole had in the end 
= 42 u ÷ 2
= 21 u

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

8 u = 224

1 u = 224 ÷ 8 = 28

Number of mochi balls that Nicole received from Jeremy
= 21 u - 12 u
= 9 u
= 9 x 28
= 252

Answer(s): 252