There were some persimmons and kiwis in Box G and Box H. In Box G, the ratio of the persimmons to the number of kiwis was 3 : 1. In Box H, the ratio of the number of persimmons to the number of kiwis was 3 : 1. There were 2 times as many fruits in Box G as in Box H. After another 24 kiwis were put into Box H, the ratio of the number of persimmons to the number of kiwis in Box H became 1 : 3. How many fruits were there in Box G?

Box G		Box H
2x4 = 8 u		1x4 = 4 u
Persimmons	Kiwis	Persimmons	Kiwis
3x2	1x2	3	1
6 u	2 u	3 u	1 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 4 is 8.

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 4 is 4.

	Box G		Box H
	Persimmons	Kiwis	Persimmons	Kiwis
Before	6 u	2 u	3 u	1 u
Change				+ 24
After	6 u	2 u	1x3 = 3 u	3x3 = 9 u

Number of persimmons in Box H remains unchanged.  Make the number of persimmons in Box H the same.  LCM of 3 and 1 is 3.

Number of kiwis put into Box H
= 9 u - 1 u
= 8 u

8 u = 24

1 u = 24 ÷ 8 = 3

Number of fruits in Box G
= 6 u + 2 u
= 8 u
= 8 x 3
= 24

Answer(s): 24