There were some pomegranates and persimmons in Box V and Box W. In Box V, the ratio of the pomegranates to the number of persimmons was 6 : 1. In Box W, the ratio of the number of pomegranates to the number of persimmons was 5 : 2. There were 2 times as many fruits in Box V as in Box W. After another 180 persimmons were put into Box W, the ratio of the number of pomegranates to the number of persimmons in Box W became 1 : 4. How many fruits were there in Box W in the end?

Box V		Box W
2x7 = 14 u		1x7 = 7 u
Pomegranates	Persimmons	Pomegranates	Persimmons
6x2	1x2	5	2
12 u	2 u	5 u	2 u

The total number of fruits in Box V is repeated.  Make the total number of fruits in Box V the same.  LCM of 2 and 7 is 14.

The total number of fruits in Box W at first is repeated.  Make the total number of fruits in Box W the same.  LCM of 1 and 7 is 7.

	Box V		Box W
	Pomegranates	Persimmons	Pomegranates	Persimmons
Before	12 u	2 u	5 u	2 u
Change				+ 180
After	12 u	2 u	1x5 = 5 u	4x5 = 20 u

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

Number of persimmons put into Box W
= 20 u - 2 u
= 18 u

18 u = 180

1 u = 180 ÷ 18 = 10

Number of fruits in Box W in the end
= 5 u + 20 u
= 25 u
= 25 x 10
= 250

Answer(s): 250