There were some starfruits and passion fruits in Box U and Box V. In Box U, the ratio of the starfruits to the number of passion fruits was 4 : 1. In Box V, the ratio of the number of starfruits to the number of passion fruits was 3 : 2. There were 2 times as many fruits in Box U as in Box V. After another 20 passion fruits were put into Box V, the ratio of the number of starfruits to the number of passion fruits in Box V became 1 : 2. How many fruits were there in Box V in the end?

Box U		Box V
2x5 = 10 u		1x5 = 5 u
Starfruits	Passion fruits	Starfruits	Passion fruits
4x2	1x2	3	2
8 u	2 u	3 u	2 u

The total number of fruits in Box U is repeated.  Make the total number of fruits in Box U the same.  LCM of 2 and 5 is 10.

The total number of fruits in Box V at first is repeated.  Make the total number of fruits in Box V the same.  LCM of 1 and 5 is 5.

	Box U		Box V
	Starfruits	Passion fruits	Starfruits	Passion fruits
Before	8 u	2 u	3 u	2 u
Change				+ 20
After	8 u	2 u	1x3 = 3 u	2x3 = 6 u

Number of starfruits in Box V remains unchanged.  Make the number of starfruits in Box V the same.  LCM of 3 and 1 is 3.

Number of passion fruits put into Box V
= 6 u - 2 u
= 4 u

4 u = 20

1 u = 20 ÷ 4 = 5

Number of fruits in Box V in the end
= 3 u + 6 u
= 9 u
= 9 x 5
= 45

Answer(s): 45