There were some chikoos and persimmons in Box V and Box W. In Box V, the ratio of the chikoos to the number of persimmons was 6 : 1. In Box W, the ratio of the number of chikoos to the number of persimmons was 4 : 3. There were 2 times as many fruits in Box V as in Box W. After another 45 persimmons were put into Box W, the ratio of the number of chikoos to the number of persimmons in Box W became 1 : 3. How many fruits were there in Box W in the end?

Box V		Box W
2x7 = 14 u		1x7 = 7 u
Chikoos	Persimmons	Chikoos	Persimmons
6x2	1x2	4	3
12 u	2 u	4 u	3 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
	Chikoos	Persimmons	Chikoos	Persimmons
Before	12 u	2 u	4 u	3 u
Change				+ 45
After	12 u	2 u	1x4 = 4 u	3x4 = 12 u

Number of chikoos in Box W remains unchanged.  Make the number of chikoos in Box W the same.  LCM of 4 and 1 is 4.

Number of persimmons put into Box W
= 12 u - 3 u
= 9 u

9 u = 45

1 u = 45 ÷ 9 = 5

Number of fruits in Box W in the end
= 4 u + 12 u
= 16 u
= 16 x 5
= 80

Answer(s): 80