There were some lemons and mangoes in Box G and Box H. In Box G, the ratio of the lemons to the number of mangoes was 6 : 1. In Box H, the ratio of the number of lemons to the number of mangoes was 5 : 2. There were 3 times as many fruits in Box G as in Box H. After another 91 mangoes were put into Box H, the ratio of the number of lemons to the number of mangoes in Box H became 1 : 3. How many fruits were there in Box H in the end?

Box G		Box H
3x7 = 21 u		1x7 = 7 u
Lemons	Mangoes	Lemons	Mangoes
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
	Lemons	Mangoes	Lemons	Mangoes
Before	18 u	3 u	5 u	2 u
Change				+ 91
After	18 u	3 u	1x5 = 5 u	3x5 = 15 u

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

Number of mangoes put into Box H
= 15 u - 2 u
= 13 u

13 u = 91

1 u = 91 ÷ 13 = 7

Number of fruits in Box H in the end
= 5 u + 15 u
= 20 u
= 20 x 7
= 140

Answer(s): 140