There were some persimmons and mangoes in Container V and Container W. In Container V, the ratio of the persimmons to the number of mangoes was 7 : 1. In Container W, the ratio of the number of persimmons to the number of mangoes was 5 : 3. There were 3 times as many fruits in Container V as in Container W. After another 96 mangoes were put into Container W, the ratio of the number of persimmons to the number of mangoes in Container W became 1 : 3. How many fruits were there in Container V?

Container V		Container W
3x8 = 24 u		1x8 = 8 u
Persimmons	Mangoes	Persimmons	Mangoes
7x3	1x3	5	3
21 u	3 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 8 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
	Persimmons	Mangoes	Persimmons	Mangoes
Before	21 u	3 u	5 u	3 u
Change				+ 96
After	21 u	3 u	1x5 = 5 u	3x5 = 15 u

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

Number of mangoes put into Container W
= 15 u - 3 u
= 12 u

12 u = 96

1 u = 96 ÷ 12 = 8

Number of fruits in Container V
= 21 u + 3 u
= 24 u
= 24 x 8
= 192

Answer(s): 192