At first, Liam, Pamela and Sean had some mini cupcakes in the ratio 9 : 7 : 8 respectively. Liam had 252 mini cupcakes. Then he gave all his mini cupcakes to Pamela and Sean. After receiving the mini cupcakes from Liam, Pamela and Sean had the same number of mini cupcakes. How many mini cupcakes did Pamela receive from Liam?

	Liam	Pamela	Sean	Total
Before	9x1 = 9 u	7x1 = 7 u	8x1 = 8 u	24x1 = 24 u
Change	- 9 u	+ 9 u
After	0	1x12 = 12 u	1x12 = 12 u	2x12 = 24 u

The total number of mini cupcakes remains unchanged. Make the total number of mini cupcakes the same.  LCM of 2 and 24 is 24.

Total number of mini cupcakes = 24 u

Number of mini cupcakes that Pamela had in the end 
= 24 u ÷ 2
= 12 u

Number of mini cupcakes that Liam had at first = 9 u 

9 u = 252

1 u = 252 ÷ 9 = 28

Number of mini cupcakes that Pamela received from Liam
= 12 u - 7 u
= 5 u
= 5 x 28
= 140

Answer(s): 140