There were some pears and starfruits in Box G and Box H. In Box G, the ratio of the pears to the number of starfruits was 7 : 1. In Box H, the ratio of the number of pears to the number of starfruits was 5 : 3. There were 3 times as many fruits in Box G as in Box H. After another 120 starfruits were put into Box H, the ratio of the number of pears to the number of starfruits in Box H became 1 : 3. How many fruits were there in Box G?

Box G		Box H
3x8 = 24 u		1x8 = 8 u
Pears	Starfruits	Pears	Starfruits
7x3	1x3	5	3
21 u	3 u	5 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 3 and 8 is 24.

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 8 is 8.

	Box G		Box H
	Pears	Starfruits	Pears	Starfruits
Before	21 u	3 u	5 u	3 u
Change				+ 120
After	21 u	3 u	1x5 = 5 u	3x5 = 15 u

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

Number of starfruits put into Box H
= 15 u - 3 u
= 12 u

12 u = 120

1 u = 120 ÷ 12 = 10

Number of fruits in Box G
= 21 u + 3 u
= 24 u
= 24 x 10
= 240

Answer(s): 240