There were some kiwis and passion fruits in Container L and Container M. In Container L, the ratio of the kiwis to the number of passion fruits was 3 : 1. In Container M, the ratio of the number of kiwis to the number of passion fruits was 3 : 1. There were 3 times as many fruits in Container L as in Container M. After another 50 passion fruits were put into Container M, the ratio of the number of kiwis to the number of passion fruits in Container M became 1 : 2. How many fruits were there in Container L?

Container L		Container M
3x4 = 12 u		1x4 = 4 u
Kiwis	Passion fruits	Kiwis	Passion fruits
3x3	1x3	3	1
9 u	3 u	3 u	1 u

The total number of fruits in Container L is repeated.  Make the total number of fruits in Container L the same.  LCM of 3 and 4 is 12.

The total number of fruits in Container M at first is repeated.  Make the total number of fruits in Container M the same.  LCM of 1 and 4 is 4.

	Container L		Container M
	Kiwis	Passion fruits	Kiwis	Passion fruits
Before	9 u	3 u	3 u	1 u
Change				+ 50
After	9 u	3 u	1x3 = 3 u	2x3 = 6 u

Number of kiwis in Container M remains unchanged.  Make the number of kiwis in Container M the same.  LCM of 3 and 1 is 3.

Number of passion fruits put into Container M
= 6 u - 1 u
= 5 u

5 u = 50

1 u = 50 ÷ 5 = 10

Number of fruits in Container L
= 9 u + 3 u
= 12 u
= 12 x 10
= 120

Answer(s): 120