There were some mangosteens and lemons in Box G and Box H. In Box G, the ratio of the mangosteens to the number of lemons was 6 : 1. In Box H, the ratio of the number of mangosteens to the number of lemons was 4 : 3. There were 2 times as many fruits in Box G as in Box H. After another 10 lemons were put into Box H, the ratio of the number of mangosteens to the number of lemons in Box H became 1 : 2. How many fruits were there in Box H in the end?

Box G		Box H
2x7 = 14 u		1x7 = 7 u
Mangosteens	Lemons	Mangosteens	Lemons
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
	Mangosteens	Lemons	Mangosteens	Lemons
Before	12 u	2 u	4 u	3 u
Change				+ 10
After	12 u	2 u	1x4 = 4 u	2x4 = 8 u

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

Number of lemons put into Box H
= 8 u - 3 u
= 5 u

5 u = 10

1 u = 10 ÷ 5 = 2

Number of fruits in Box H in the end
= 4 u + 8 u
= 12 u
= 12 x 2
= 24

Answer(s): 24