At first, Ian, Irene and Japheth had some caramel apples in the ratio 5 : 3 : 4 respectively. Ian had 275 caramel apples. Then he gave all his caramel apples to Irene and Japheth. After receiving the caramel apples from Ian, Irene and Japheth had the same number of caramel apples. How many caramel apples did Irene receive from Ian?

	Ian	Irene	Japheth	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 caramel apples remains unchanged. Make the total number of caramel apples the same.  LCM of 2 and 12 is 12.

Total number of caramel apples = 12 u

Number of caramel apples that Irene had in the end 
= 12 u ÷ 2
= 6 u

Number of caramel apples that Ian had at first = 5 u 

5 u = 275

1 u = 275 ÷ 5 = 55

Number of caramel apples that Irene received from Ian
= 6 u - 3 u
= 3 u
= 3 x 55
= 165

Answer(s): 165