There were some lemons and passion fruits in Box V and Box W. In Box V, the ratio of the lemons to the number of passion fruits was 7 : 1. In Box W, the ratio of the number of lemons to the number of passion fruits was 5 : 3. There were 2 times as many fruits in Box V as in Box W. After another 60 passion fruits were put into Box W, the ratio of the number of lemons to the number of passion fruits in Box W became 1 : 3. How many fruits were there in Box W in the end?

Box V		Box W
2x8 = 16 u		1x8 = 8 u
Lemons	Passion fruits	Lemons	Passion fruits
7x2	1x2	5	3
14 u	2 u	5 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 8 is 16.

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 8 is 8.

	Box V		Box W
	Lemons	Passion fruits	Lemons	Passion fruits
Before	14 u	2 u	5 u	3 u
Change				+ 60
After	14 u	2 u	1x5 = 5 u	3x5 = 15 u

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

Number of passion fruits put into Box W
= 15 u - 3 u
= 12 u

12 u = 60

1 u = 60 ÷ 12 = 5

Number of fruits in Box W in the end
= 5 u + 15 u
= 20 u
= 20 x 5
= 100

Answer(s): 100