There were some mangoes and chikoos in Container J and Container K. In Container J, the ratio of the mangoes to the number of chikoos was 4 : 1. In Container K, the ratio of the number of mangoes to the number of chikoos was 3 : 2. There were 3 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 mangoes to the number of chikoos in Container K became 1 : 3. How many fruits were there in Container J?

Container J		Container K
3x5 = 15 u		1x5 = 5 u
Mangoes	Chikoos	Mangoes	Chikoos
4x3	1x3	3	2
12 u	3 u	3 u	2 u

The total number of fruits in Container J is repeated.  Make the total number of fruits in Container J the same.  LCM of 3 and 5 is 15.

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 5 is 5.

	Container J		Container K
	Mangoes	Chikoos	Mangoes	Chikoos
Before	12 u	3 u	3 u	2 u
Change				+ 14
After	12 u	3 u	1x3 = 3 u	3x3 = 9 u

Number of mangoes in Container K remains unchanged.  Make the number of mangoes in Container K the same.  LCM of 3 and 1 is 3.

Number of chikoos put into Container K
= 9 u - 2 u
= 7 u

7 u = 14

1 u = 14 ÷ 7 = 2

Number of fruits in Container J
= 12 u + 3 u
= 15 u
= 15 x 2
= 30

Answer(s): 30