There were some starfruits and chikoos in Container J and Container K. In Container J, the ratio of the starfruits to the number of chikoos was 3 : 1. In Container K, the ratio of the number of starfruits to the number of chikoos was 5 : 3. There were 2 times as many fruits in Container J as in Container K. After another 14 chikoos were put into Container K, the ratio of the number of starfruits to the number of chikoos in Container K became 1 : 2. How many fruits were there in Container J?

Container J		Container K
2x8 = 16 u		1x8 = 8 u
Starfruits	Chikoos	Starfruits	Chikoos
3x4	1x4	5	3
12 u	4 u	5 u	3 u

The total number of fruits in Container J is repeated.  Make the total number of fruits in Container J the same.  LCM of 2 and 4 is 16.

The total number of fruits in Container K at first is repeated.  Make the total number of fruits in Container K the same.  LCM of 1 and 8 is 8.

	Container J		Container K
	Starfruits	Chikoos	Starfruits	Chikoos
Before	12 u	4 u	5 u	3 u
Change				+ 14
After	12 u	4 u	1x5 = 5 u	2x5 = 10 u

Number of starfruits in Container K remains unchanged.  Make the number of starfruits in Container K the same.  LCM of 5 and 1 is 5.

Number of chikoos put into Container K
= 10 u - 3 u
= 7 u

7 u = 14

1 u = 14 ÷ 7 = 2

Number of fruits in Container J
= 12 u + 4 u
= 16 u
= 16 x 2
= 32

Answer(s): 32