There were some apples and mangosteens in Container B and Container C. In Container B, the ratio of the apples to the number of mangosteens was 6 : 1. In Container C, the ratio of the number of apples to the number of mangosteens was 4 : 3. There were 3 times as many fruits in Container B as in Container C. After another 27 mangosteens were put into Container C, the ratio of the number of apples to the number of mangosteens in Container C became 1 : 3. How many fruits were there in Container B?

Container B		Container C
3x7 = 21 u		1x7 = 7 u
Apples	Mangosteens	Apples	Mangosteens
6x3	1x3	4	3
18 u	3 u	4 u	3 u

The total number of fruits in Container B is repeated.  Make the total number of fruits in Container B the same.  LCM of 3 and 7 is 21.

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

	Container B		Container C
	Apples	Mangosteens	Apples	Mangosteens
Before	18 u	3 u	4 u	3 u
Change				+ 27
After	18 u	3 u	1x4 = 4 u	3x4 = 12 u

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

Number of mangosteens put into Container C
= 12 u - 3 u
= 9 u

9 u = 27

1 u = 27 ÷ 9 = 3

Number of fruits in Container B
= 18 u + 3 u
= 21 u
= 21 x 3
= 63

Answer(s): 63