There were some passion fruits and persimmons in Container X and Container Y. In Container X, the ratio of the passion fruits to the number of persimmons was 7 : 1. In Container Y, the ratio of the number of passion fruits to the number of persimmons was 5 : 3. There were 2 times as many fruits in Container X as in Container Y. After another 170 persimmons were put into Container Y, the ratio of the number of passion fruits to the number of persimmons in Container Y became 1 : 4. How many fruits were there in Container X?

Container X		Container Y
2x8 = 16 u		1x8 = 8 u
Passion fruits	Persimmons	Passion fruits	Persimmons
7x2	1x2	5	3
14 u	2 u	5 u	3 u

The total number of fruits in Container X is repeated.  Make the total number of fruits in Container X the same.  LCM of 2 and 8 is 16.

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

	Container X		Container Y
	Passion fruits	Persimmons	Passion fruits	Persimmons
Before	14 u	2 u	5 u	3 u
Change				+ 170
After	14 u	2 u	1x5 = 5 u	4x5 = 20 u

Number of passion fruits in Container Y remains unchanged.  Make the number of passion fruits in Container Y the same.  LCM of 5 and 1 is 5.

Number of persimmons put into Container Y
= 20 u - 3 u
= 17 u

17 u = 170

1 u = 170 ÷ 17 = 10

Number of fruits in Container X
= 14 u + 2 u
= 16 u
= 16 x 10
= 160

Answer(s): 160