There were some mangoes and mangosteens in Container V and Container W. In Container V, the ratio of the mangoes to the number of mangosteens was 7 : 1. In Container W, the ratio of the number of mangoes to the number of mangosteens was 5 : 3. There were 2 times as many fruits in Container V as in Container W. After another 51 mangosteens were put into Container W, the ratio of the number of mangoes 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
2x8 = 16 u		1x8 = 8 u
Mangoes	Mangosteens	Mangoes	Mangosteens
7x2	1x2	5	3
14 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 2 and 8 is 16.

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
	Mangoes	Mangosteens	Mangoes	Mangosteens
Before	14 u	2 u	5 u	3 u
Change				+ 51
After	14 u	2 u	1x5 = 5 u	4x5 = 20 u

Number of mangoes in Container W remains unchanged.  Make the number of mangoes 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 = 51

1 u = 51 ÷ 17 = 3

Number of fruits in Container W in the end
= 5 u + 20 u
= 25 u
= 25 x 3
= 75

Answer(s): 75