There were some passion fruits and oranges in Container G and Container H. In Container G, the ratio of the passion fruits to the number of oranges was 6 : 1. In Container H, the ratio of the number of passion fruits to the number of oranges was 4 : 3. There were 3 times as many fruits in Container G as in Container H. After another 39 oranges were put into Container H, the ratio of the number of passion fruits to the number of oranges in Container H became 1 : 4. How many fruits were there in Container G?

Container G		Container H
3x7 = 21 u		1x7 = 7 u
Passion fruits	Oranges	Passion fruits	Oranges
6x3	1x3	4	3
18 u	3 u	4 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 3 and 7 is 21.

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 7 is 7.

	Container G		Container H
	Passion fruits	Oranges	Passion fruits	Oranges
Before	18 u	3 u	4 u	3 u
Change				+ 39
After	18 u	3 u	1x4 = 4 u	4x4 = 16 u

Number of passion fruits in Container H remains unchanged.  Make the number of passion fruits in Container H the same.  LCM of 4 and 1 is 4.

Number of oranges put into Container H
= 16 u - 3 u
= 13 u

13 u = 39

1 u = 39 ÷ 13 = 3

Number of fruits in Container G
= 18 u + 3 u
= 21 u
= 21 x 3
= 63

Answer(s): 63