There were some pomegranates and starfruits in Container H and Container J. In Container H, the ratio of the pomegranates to the number of starfruits was 7 : 1. In Container J, the ratio of the number of pomegranates to the number of starfruits was 5 : 3. There were 2 times as many fruits in Container H as in Container J. After another 36 starfruits were put into Container J, the ratio of the number of pomegranates to the number of starfruits in Container J became 1 : 3. How many fruits were there in Container J in the end?

Container H		Container J
2x8 = 16 u		1x8 = 8 u
Pomegranates	Starfruits	Pomegranates	Starfruits
7x2	1x2	5	3
14 u	2 u	5 u	3 u

The total number of fruits in Container H is repeated.  Make the total number of fruits in Container H the same.  LCM of 2 and 8 is 16.

The total number of fruits in Container J at first is repeated.  Make the total number of fruits in Container J the same.  LCM of 1 and 8 is 8.

	Container H		Container J
	Pomegranates	Starfruits	Pomegranates	Starfruits
Before	14 u	2 u	5 u	3 u
Change				+ 36
After	14 u	2 u	1x5 = 5 u	3x5 = 15 u

Number of pomegranates in Container J remains unchanged.  Make the number of pomegranates in Container J the same.  LCM of 5 and 1 is 5.

Number of starfruits put into Container J
= 15 u - 3 u
= 12 u

12 u = 36

1 u = 36 ÷ 12 = 3

Number of fruits in Container J in the end
= 5 u + 15 u
= 20 u
= 20 x 3
= 60

Answer(s): 60