At first, Julian, Nicole and Vincent had some chocolate bars in the ratio 6 : 4 : 5 respectively. Julian had 300 chocolate bars. Then he gave all his chocolate bars to Nicole and Vincent. After receiving the chocolate bars from Julian, Nicole and Vincent had the same number of chocolate bars. How many chocolate bars did Nicole receive from Julian?

	Julian	Nicole	Vincent	Total
Before	6x2 = 12 u	4x2 = 8 u	5x2 = 10 u	15x2 = 30 u
Change	- 6 u	+ 6 u
After	0	1x15 = 15 u	1x15 = 15 u	2x15 = 30 u

The total number of chocolate bars remains unchanged. Make the total number of chocolate bars the same.  LCM of 2 and 15 is 30.

Total number of chocolate bars = 30 u

Number of chocolate bars that Nicole had in the end 
= 30 u ÷ 2
= 15 u

Number of chocolate bars that Julian had at first = 6 u 

6 u = 300

1 u = 300 ÷ 6 = 50

Number of chocolate bars that Nicole received from Julian
= 15 u - 8 u
= 7 u
= 7 x 50
= 350

Answer(s): 350