There were some chikoos and oranges in Box H and Box J. In Box H, the ratio of the chikoos to the number of oranges was 6 : 1. In Box J, the ratio of the number of chikoos to the number of oranges was 4 : 3. There were 3 times as many fruits in Box H as in Box J. After another 27 oranges were put into Box J, the ratio of the number of chikoos to the number of oranges in Box J became 1 : 3. How many fruits were there in Box H?

Box H		Box J
3x7 = 21 u		1x7 = 7 u
Chikoos	Oranges	Chikoos	Oranges
6x3	1x3	4	3
18 u	3 u	4 u	3 u

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

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

	Box H		Box J
	Chikoos	Oranges	Chikoos	Oranges
Before	18 u	3 u	4 u	3 u
Change				+ 27
After	18 u	3 u	1x4 = 4 u	3x4 = 12 u

Number of chikoos in Box J remains unchanged.  Make the number of chikoos in Box J the same.  LCM of 4 and 1 is 4.

Number of oranges put into Box J
= 12 u - 3 u
= 9 u

9 u = 27

1 u = 27 ÷ 9 = 3

Number of fruits in Box H
= 18 u + 3 u
= 21 u
= 21 x 3
= 63

Answer(s): 63