There were some lemons and persimmons in Container N and Container P. In Container N, the ratio of the lemons to the number of persimmons was 6 : 1. In Container P, the ratio of the number of lemons to the number of persimmons was 4 : 3. There were 2 times as many fruits in Container N as in Container P. After another 39 persimmons were put into Container P, the ratio of the number of lemons to the number of persimmons in Container P became 1 : 4. How many fruits were there in Container N?

Container N		Container P
2x7 = 14 u		1x7 = 7 u
Lemons	Persimmons	Lemons	Persimmons
6x2	1x2	4	3
12 u	2 u	4 u	3 u

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

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

	Container N		Container P
	Lemons	Persimmons	Lemons	Persimmons
Before	12 u	2 u	4 u	3 u
Change				+ 39
After	12 u	2 u	1x4 = 4 u	4x4 = 16 u

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

Number of persimmons put into Container P
= 16 u - 3 u
= 13 u

13 u = 39

1 u = 39 ÷ 13 = 3

Number of fruits in Container N
= 12 u + 2 u
= 14 u
= 14 x 3
= 42

Answer(s): 42