At first, Japheth, Cindy and Justin had some mini cupcakes in the ratio 6 : 4 : 5 respectively. Japheth had 222 mini cupcakes. Then he gave all his mini cupcakes to Cindy and Justin. After receiving the mini cupcakes from Japheth, Cindy and Justin had the same number of mini cupcakes. How many mini cupcakes did Cindy receive from Japheth?

	Japheth	Cindy	Justin	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 mini cupcakes remains unchanged. Make the total number of mini cupcakes the same.  LCM of 2 and 15 is 30.

Total number of mini cupcakes = 30 u

Number of mini cupcakes that Cindy had in the end 
= 30 u ÷ 2
= 15 u

Number of mini cupcakes that Japheth had at first = 6 u 

6 u = 222

1 u = 222 ÷ 6 = 37

Number of mini cupcakes that Cindy received from Japheth
= 15 u - 8 u
= 7 u
= 7 x 37
= 259

Answer(s): 259