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

Container A		Container B
2x7 = 14 u		1x7 = 7 u
Lemons	Apples	Lemons	Apples
6x2	1x2	4	3
12 u	2 u	4 u	3 u

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

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

	Container A		Container B
	Lemons	Apples	Lemons	Apples
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 B remains unchanged.  Make the number of lemons in Container B the same.  LCM of 4 and 1 is 4.

Number of apples put into Container B
= 16 u - 3 u
= 13 u

13 u = 39

1 u = 39 ÷ 13 = 3

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

Answer(s): 42