At first, Bryan, Irene and Peter had some mini cupcakes in the ratio 6 : 4 : 5 respectively. Bryan had 216 mini cupcakes. Then he gave all his mini cupcakes to Irene and Peter. After receiving the mini cupcakes from Bryan, Irene and Peter had the same number of mini cupcakes. How many mini cupcakes did Irene receive from Bryan?

	Bryan	Irene	Peter	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 Irene had in the end 
= 30 u ÷ 2
= 15 u

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

6 u = 216

1 u = 216 ÷ 6 = 36

Number of mini cupcakes that Irene received from Bryan
= 15 u - 8 u
= 7 u
= 7 x 36
= 252

Answer(s): 252