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 11 : 1. In Container W, the ratio of the number of lemons to the number of mangosteens was 5 : 3. There were 3 times as many fruits in Container V as in Container W. After another 34 mangosteens were put into Container W, the ratio of the number of lemons to the number of mangosteens in Container W became 1 : 4. How many fruits were there in Container W in the end?

Container V		Container W
3x8 = 24 u		1x8 = 8 u
Lemons	Mangosteens	Lemons	Mangosteens
11x2	1x2	5	3
22 u	2 u	5 u	3 u

The total number of fruits in Container V is repeated.  Make the total number of fruits in Container V the same.  LCM of 3 and 12 is 24.

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 8 is 8.

	Container V		Container W
	Lemons	Mangosteens	Lemons	Mangosteens
Before	22 u	2 u	5 u	3 u
Change				+ 34
After	22 u	2 u	1x5 = 5 u	4x5 = 20 u

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

Number of mangosteens put into Container W
= 20 u - 3 u
= 17 u

17 u = 34

1 u = 34 ÷ 17 = 2

Number of fruits in Container W in the end
= 5 u + 20 u
= 25 u
= 25 x 2
= 50

Answer(s): 50