There were some persimmons and pomegranates in Container G and Container H. In Container G, the ratio of the persimmons to the number of pomegranates was 7 : 1. In Container H, the ratio of the number of persimmons to the number of pomegranates was 5 : 3. There were 2 times as many fruits in Container G as in Container H. After another 49 pomegranates were put into Container H, the ratio of the number of persimmons to the number of pomegranates in Container H became 1 : 2. How many fruits were there in Container H in the end?

Container G		Container H
2x8 = 16 u		1x8 = 8 u
Persimmons	Pomegranates	Persimmons	Pomegranates
7x2	1x2	5	3
14 u	2 u	5 u	3 u

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

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

	Container G		Container H
	Persimmons	Pomegranates	Persimmons	Pomegranates
Before	14 u	2 u	5 u	3 u
Change				+ 49
After	14 u	2 u	1x5 = 5 u	2x5 = 10 u

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

Number of pomegranates put into Container H
= 10 u - 3 u
= 7 u

7 u = 49

1 u = 49 ÷ 7 = 7

Number of fruits in Container H in the end
= 5 u + 10 u
= 15 u
= 15 x 7
= 105

Answer(s): 105