There were some lemons and mangosteens in Container V and Container W. In Container V, the ratio of the lemons to the number of mangosteens was 3 : 1. In Container W, the ratio of the number of lemons to the number of mangosteens was 3 : 1. There were 2 times as many fruits in Container V as in Container W. After another 35 mangosteens were put into Container W, the ratio of the number of lemons to the number of mangosteens in Container W became 1 : 2. How many fruits were there in Container V?

Container V		Container W
2x4 = 8 u		1x4 = 4 u
Lemons	Mangosteens	Lemons	Mangosteens
3x2	1x2	3	1
6 u	2 u	3 u	1 u

The total number of fruits in Container V is repeated.  Make the total number of fruits in Container V the same.  LCM of 2 and 4 is 8.

The total number of fruits in Container W at first is repeated.  Make the total number of fruits in Container W the same.  LCM of 1 and 4 is 4.

	Container V		Container W
	Lemons	Mangosteens	Lemons	Mangosteens
Before	6 u	2 u	3 u	1 u
Change				+ 35
After	6 u	2 u	1x3 = 3 u	2x3 = 6 u

Number of lemons in Container W remains unchanged.  Make the number of lemons in Container W the same.  LCM of 3 and 1 is 3.

Number of mangosteens put into Container W
= 6 u - 1 u
= 5 u

5 u = 35

1 u = 35 ÷ 5 = 7

Number of fruits in Container V
= 6 u + 2 u
= 8 u
= 8 x 7
= 56

Answer(s): 56