There were some apples and passion fruits in Container X and Container Y. In Container X, the ratio of the apples to the number of passion fruits was 5 : 1. In Container Y, the ratio of the number of apples to the number of passion fruits was 3 : 1. There were 3 times as many fruits in Container X as in Container Y. After another 72 passion fruits were put into Container Y, the ratio of the number of apples to the number of passion fruits in Container Y became 1 : 3. How many fruits were there in Container Y in the end?

Container X		Container Y
3x4 = 12 u		1x4 = 4 u
Apples	Passion fruits	Apples	Passion fruits
5x2	1x2	3	1
10 u	2 u	3 u	1 u

The total number of fruits in Container X is repeated.  Make the total number of fruits in Container X the same.  LCM of 3 and 6 is 12.

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

	Container X		Container Y
	Apples	Passion fruits	Apples	Passion fruits
Before	10 u	2 u	3 u	1 u
Change				+ 72
After	10 u	2 u	1x3 = 3 u	3x3 = 9 u

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

Number of passion fruits put into Container Y
= 9 u - 1 u
= 8 u

8 u = 72

1 u = 72 ÷ 8 = 9

Number of fruits in Container Y in the end
= 3 u + 9 u
= 12 u
= 12 x 9
= 108

Answer(s): 108