At first, Paul, Roshel and John had some mini cupcakes in the ratio 7 : 5 : 6 respectively. Paul had 238 mini cupcakes. Then he gave all his mini cupcakes to Roshel and John. After receiving the mini cupcakes from Paul, Roshel and John had the same number of mini cupcakes. How many mini cupcakes did Roshel receive from Paul?

	Paul	Roshel	John	Total
Before	7x1 = 7 u	5x1 = 5 u	6x1 = 6 u	18x1 = 18 u
Change	- 7 u	+ 7 u
After	0	1x9 = 9 u	1x9 = 9 u	2x9 = 18 u

The total number of mini cupcakes remains unchanged. Make the total number of mini cupcakes the same.  LCM of 2 and 18 is 18.

Total number of mini cupcakes = 18 u

Number of mini cupcakes that Roshel had in the end 
= 18 u ÷ 2
= 9 u

Number of mini cupcakes that Paul had at first = 7 u 

7 u = 238

1 u = 238 ÷ 7 = 34

Number of mini cupcakes that Roshel received from Paul
= 9 u - 5 u
= 4 u
= 4 x 34
= 136

Answer(s): 136