There were some chikoos and persimmons in Container G and Container H. In Container G, the ratio of the chikoos to the number of persimmons was 1 : 1. In Container H, the ratio of the number of chikoos to the number of persimmons was 3 : 1. There were 2 times as many fruits in Container G as in Container H. After another 55 persimmons were put into Container H, the ratio of the number of chikoos to the number of persimmons in Container H became 1 : 4. How many fruits were there in Container H in the end?

Container G		Container H
2x4 = 8 u		1x4 = 4 u
Chikoos	Persimmons	Chikoos	Persimmons
1x4	1x4	3	1
4 u	4 u	3 u	1 u

The total number of fruits in Container G is repeated.  Make the total number of fruits in Container G the same.  LCM of 2 and 2 is 8.

The total number of fruits in Container H at first is repeated.  Make the total number of fruits in Container H the same.  LCM of 1 and 4 is 4.

	Container G		Container H
	Chikoos	Persimmons	Chikoos	Persimmons
Before	4 u	4 u	3 u	1 u
Change				+ 55
After	4 u	4 u	1x3 = 3 u	4x3 = 12 u

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

Number of persimmons put into Container H
= 12 u - 1 u
= 11 u

11 u = 55

1 u = 55 ÷ 11 = 5

Number of fruits in Container H in the end
= 3 u + 12 u
= 15 u
= 15 x 5
= 75

Answer(s): 75