At first, Dylan, Abi and Jenson had some mini cupcakes in the ratio 7 : 5 : 6 respectively. Dylan had 350 mini cupcakes. Then he gave all his mini cupcakes to Abi and Jenson. After receiving the mini cupcakes from Dylan, Abi and Jenson had the same number of mini cupcakes. How many mini cupcakes did Abi receive from Dylan?

	Dylan	Abi	Jenson	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 Abi had in the end 
= 18 u ÷ 2
= 9 u

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

7 u = 350

1 u = 350 ÷ 7 = 50

Number of mini cupcakes that Abi received from Dylan
= 9 u - 5 u
= 4 u
= 4 x 50
= 200

Answer(s): 200