At first, Ian, Kimberly and Zane had some mini cupcakes in the ratio 5 : 3 : 4 respectively. Ian had 435 mini cupcakes. Then he gave all his mini cupcakes to Kimberly and Zane. After receiving the mini cupcakes from Ian, Kimberly and Zane had the same number of mini cupcakes. How many mini cupcakes did Kimberly receive from Ian?

	Ian	Kimberly	Zane	Total
Before	5x1 = 5 u	3x1 = 3 u	4x1 = 4 u	12x1 = 12 u
Change	- 5 u	+ 5 u
After	0	1x6 = 6 u	1x6 = 6 u	2x6 = 12 u

The total number of mini cupcakes remains unchanged. Make the total number of mini cupcakes the same.  LCM of 2 and 12 is 12.

Total number of mini cupcakes = 12 u

Number of mini cupcakes that Kimberly had in the end 
= 12 u ÷ 2
= 6 u

Number of mini cupcakes that Ian had at first = 5 u 

5 u = 435

1 u = 435 ÷ 5 = 87

Number of mini cupcakes that Kimberly received from Ian
= 6 u - 3 u
= 3 u
= 3 x 87
= 261

Answer(s): 261