At first, Neave, Sabrina and Henry had some mini cupcakes in the ratio 7 : 5 : 6 respectively. Neave had 448 mini cupcakes. Then he gave all his mini cupcakes to Sabrina and Henry. After receiving the mini cupcakes from Neave, Sabrina and Henry had the same number of mini cupcakes. How many mini cupcakes did Sabrina receive from Neave?

	Neave	Sabrina	Henry	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 Sabrina had in the end 
= 18 u ÷ 2
= 9 u

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

7 u = 448

1 u = 448 ÷ 7 = 64

Number of mini cupcakes that Sabrina received from Neave
= 9 u - 5 u
= 4 u
= 4 x 64
= 256

Answer(s): 256