At first, Cole, Ivory and Bryan had some chocolate bars in the ratio 9 : 7 : 8 respectively. Cole had 207 chocolate bars. Then he gave all his chocolate bars to Ivory and Bryan. After receiving the chocolate bars from Cole, Ivory and Bryan had the same number of chocolate bars. How many chocolate bars did Ivory receive from Cole?

	Cole	Ivory	Bryan	Total
Before	9x1 = 9 u	7x1 = 7 u	8x1 = 8 u	24x1 = 24 u
Change	- 9 u	+ 9 u
After	0	1x12 = 12 u	1x12 = 12 u	2x12 = 24 u

The total number of chocolate bars remains unchanged. Make the total number of chocolate bars the same.  LCM of 2 and 24 is 24.

Total number of chocolate bars = 24 u

Number of chocolate bars that Ivory had in the end 
= 24 u ÷ 2
= 12 u

Number of chocolate bars that Cole had at first = 9 u 

9 u = 207

1 u = 207 ÷ 9 = 23

Number of chocolate bars that Ivory received from Cole
= 12 u - 7 u
= 5 u
= 5 x 23
= 115

Answer(s): 115