There were some persimmons and passion fruits in Container E and Container F. In Container E, the ratio of the persimmons to the number of passion fruits was 6 : 1. In Container F, the ratio of the number of persimmons to the number of passion fruits was 4 : 3. There were 2 times as many fruits in Container E as in Container F. After another 36 passion fruits were put into Container F, the ratio of the number of persimmons to the number of passion fruits in Container F became 1 : 3. How many fruits were there in Container F in the end?

Container E		Container F
2x7 = 14 u		1x7 = 7 u
Persimmons	Passion fruits	Persimmons	Passion fruits
6x2	1x2	4	3
12 u	2 u	4 u	3 u

The total number of fruits in Container E is repeated.  Make the total number of fruits in Container E the same.  LCM of 2 and 7 is 14.

The total number of fruits in Container F at first is repeated.  Make the total number of fruits in Container F the same.  LCM of 1 and 7 is 7.

	Container E		Container F
	Persimmons	Passion fruits	Persimmons	Passion fruits
Before	12 u	2 u	4 u	3 u
Change				+ 36
After	12 u	2 u	1x4 = 4 u	3x4 = 12 u

Number of persimmons in Container F remains unchanged.  Make the number of persimmons in Container F the same.  LCM of 4 and 1 is 4.

Number of passion fruits put into Container F
= 12 u - 3 u
= 9 u

9 u = 36

1 u = 36 ÷ 9 = 4

Number of fruits in Container F in the end
= 4 u + 12 u
= 16 u
= 16 x 4
= 64

Answer(s): 64