A fruit seller sells only pomegranates and passion fruits. The ratio of pomegranates to passion fruits is 2 : 3. A total of 77 fruits are added. The number of pomegranates becomes 3 times as many as before and the number of passion fruits becomes 2 times as many as before. How many fruits are there in the end?

	Comparing pomegranates at first and in the end	Pomegranates	Passion Fruits	Comparing passion fruits at first and in the end
Before	1x2 = 2 u	2 u	3 u	1x3 = 3 u
Change		+ 77
After	3x2 = 6 u	6 u	6 u	2x3 = 6 u

The number of passion fruits at first is repeated.  Make the number of passion fruits at first the same.  LCM of 1 and 3 is 3.

The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 1 and 2 is 2.

Number of fruits at first
= 2 u + 3 u
= 5 u

Number of fruits in the end
= 6 u + 6 u
= 12 u

Number of fruits added
= 12 u - 5 u 
= 7 u

7 u = 77

1 u = 77 ÷ 7 = 11

Number of fruits in the end
= 12 u
= 12 x 11
= 132

Answer(s): 132