At first, Pierre, Kylie and Cody had some mini cupcakes in the ratio 8 : 6 : 7 respectively. Pierre had 432 mini cupcakes. Then he gave all his mini cupcakes to Kylie and Cody. After receiving the mini cupcakes from Pierre, Kylie and Cody had the same number of mini cupcakes. How many mini cupcakes did Kylie receive from Pierre?

	Pierre	Kylie	Cody	Total
Before	8x2 = 16 u	6x2 = 12 u	7x2 = 14 u	21x2 = 42 u
Change	- 8 u	+ 8 u
After	0	1x21 = 21 u	1x21 = 21 u	2x21 = 42 u

The total number of mini cupcakes remains unchanged. Make the total number of mini cupcakes the same.  LCM of 2 and 21 is 42.

Total number of mini cupcakes = 42 u

Number of mini cupcakes that Kylie had in the end 
= 42 u ÷ 2
= 21 u

Number of mini cupcakes that Pierre had at first = 8 u 

8 u = 432

1 u = 432 ÷ 8 = 54

Number of mini cupcakes that Kylie received from Pierre
= 21 u - 12 u
= 9 u
= 9 x 54
= 486

Answer(s): 486