There were some passion fruits and pears in Container D and Container E. In Container D, the ratio of the passion fruits to the number of pears was 6 : 1. In Container E, the ratio of the number of passion fruits to the number of pears was 5 : 2. There were 2 times as many fruits in Container D as in Container E. After another 39 pears were put into Container E, the ratio of the number of passion fruits to the number of pears in Container E became 1 : 3. How many fruits were there in Container D?

Container D		Container E
2x7 = 14 u		1x7 = 7 u
Passion fruits	Pears	Passion fruits	Pears
6x2	1x2	5	2
12 u	2 u	5 u	2 u

The total number of fruits in Container D is repeated.  Make the total number of fruits in Container D the same.  LCM of 2 and 7 is 14.

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

	Container D		Container E
	Passion fruits	Pears	Passion fruits	Pears
Before	12 u	2 u	5 u	2 u
Change				+ 39
After	12 u	2 u	1x5 = 5 u	3x5 = 15 u

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

Number of pears put into Container E
= 15 u - 2 u
= 13 u

13 u = 39

1 u = 39 ÷ 13 = 3

Number of fruits in Container D
= 12 u + 2 u
= 14 u
= 14 x 3
= 42

Answer(s): 42