There were some starfruits and passion fruits in Box K and Box L. In Box K, the ratio of the starfruits to the number of passion fruits was 5 : 1. In Box L, the ratio of the number of starfruits to the number of passion fruits was 5 : 3. There were 3 times as many fruits in Box K as in Box L. After another 96 passion fruits were put into Box L, the ratio of the number of starfruits to the number of passion fruits in Box L became 1 : 3. How many fruits were there in Box L in the end?

Box K		Box L
3x8 = 24 u		1x8 = 8 u
Starfruits	Passion fruits	Starfruits	Passion fruits
5x4	1x4	5	3
20 u	4 u	5 u	3 u

The total number of fruits in Box K is repeated.  Make the total number of fruits in Box K the same.  LCM of 3 and 6 is 24.

The total number of fruits in Box L at first is repeated.  Make the total number of fruits in Box L the same.  LCM of 1 and 8 is 8.

	Box K		Box L
	Starfruits	Passion fruits	Starfruits	Passion fruits
Before	20 u	4 u	5 u	3 u
Change				+ 96
After	20 u	4 u	1x5 = 5 u	3x5 = 15 u

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

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

12 u = 96

1 u = 96 ÷ 12 = 8

Number of fruits in Box L in the end
= 5 u + 15 u
= 20 u
= 20 x 8
= 160

Answer(s): 160