There were some starfruits and oranges in Box G and Box H. In Box G, the ratio of the starfruits to the number of oranges was 6 : 1. In Box H, the ratio of the number of starfruits to the number of oranges was 4 : 3. There were 2 times as many fruits in Box G as in Box H. After another 130 oranges were put into Box H, the ratio of the number of starfruits to the number of oranges in Box H became 1 : 4. How many fruits were there in Box G?

Box G		Box H
2x7 = 14 u		1x7 = 7 u
Starfruits	Oranges	Starfruits	Oranges
6x2	1x2	4	3
12 u	2 u	4 u	3 u

The total number of fruits in Box G is repeated.  Make the total number of fruits in Box G the same.  LCM of 2 and 7 is 14.

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
	Starfruits	Oranges	Starfruits	Oranges
Before	12 u	2 u	4 u	3 u
Change				+ 130
After	12 u	2 u	1x4 = 4 u	4x4 = 16 u

Number of starfruits in Box H remains unchanged.  Make the number of starfruits in Box H the same.  LCM of 4 and 1 is 4.

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

13 u = 130

1 u = 130 ÷ 13 = 10

Number of fruits in Box G
= 12 u + 2 u
= 14 u
= 14 x 10
= 140

Answer(s): 140