There were some passion fruits and oranges in Box G and Box H. In Box G, the ratio of the passion fruits to the number of oranges was 6 : 1. In Box H, the ratio of the number of passion fruits to the number of oranges was 5 : 2. There were 3 times as many fruits in Box G as in Box H. After another 36 oranges were put into Box H, the ratio of the number of passion fruits to the number of oranges in Box H became 1 : 4. How many fruits were there in Box G?

Box G		Box H
3x7 = 21 u		1x7 = 7 u
Passion fruits	Oranges	Passion fruits	Oranges
6x3	1x3	5	2
18 u	3 u	5 u	2 u

The total number of fruits in Box G is repeated.  Make the total number of fruits in Box G the same.  LCM of 3 and 7 is 21.

The total number of fruits in Box H at first is repeated.  Make the total number of fruits in Box H the same.  LCM of 1 and 7 is 7.

	Box G		Box H
	Passion fruits	Oranges	Passion fruits	Oranges
Before	18 u	3 u	5 u	2 u
Change				+ 36
After	18 u	3 u	1x5 = 5 u	4x5 = 20 u

Number of passion fruits in Box H remains unchanged.  Make the number of passion fruits in Box H the same.  LCM of 5 and 1 is 5.

Number of oranges put into Box H
= 20 u - 2 u
= 18 u

18 u = 36

1 u = 36 ÷ 18 = 2

Number of fruits in Box G
= 18 u + 3 u
= 21 u
= 21 x 2
= 42

Answer(s): 42