At first, Neave, Barbara and Reggie had some mini cupcakes in the ratio 7 : 5 : 6 respectively. Neave had 329 mini cupcakes. Then he gave all his mini cupcakes to Barbara and Reggie. After receiving the mini cupcakes from Neave, Barbara and Reggie had the same number of mini cupcakes. How many mini cupcakes did Barbara receive from Neave?

	Neave	Barbara	Reggie	Total
Before	7x1 = 7 u	5x1 = 5 u	6x1 = 6 u	18x1 = 18 u
Change	- 7 u	+ 7 u
After	0	1x9 = 9 u	1x9 = 9 u	2x9 = 18 u

The total number of mini cupcakes remains unchanged. Make the total number of mini cupcakes the same.  LCM of 2 and 18 is 18.

Total number of mini cupcakes = 18 u

Number of mini cupcakes that Barbara had in the end 
= 18 u ÷ 2
= 9 u

Number of mini cupcakes that Neave had at first = 7 u 

7 u = 329

1 u = 329 ÷ 7 = 47

Number of mini cupcakes that Barbara received from Neave
= 9 u - 5 u
= 4 u
= 4 x 47
= 188

Answer(s): 188