A fruit seller sells only peaches and passion fruits. The ratio of peaches to passion fruits is 1 : 2. A total of 14 fruits are added. The number of peaches becomes 4 times as many as before and the number of passion fruits becomes 3 times as many as before. How many fruits are there in the end?

	Comparing peaches at first and in the end	Peaches	Passion Fruits	Comparing passion fruits at first and in the end
Before	1x1 = 1 u	1 u	2 u	1x2 = 2 u
Change		+ 14
After	4x1 = 4 u	4 u	6 u	3x2 = 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 2 is 2.

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

Number of fruits at first
= 1 u + 2 u
= 3 u

Number of fruits in the end
= 4 u + 6 u
= 10 u

Number of fruits added
= 10 u - 3 u 
= 7 u

7 u = 14

1 u = 14 ÷ 7 = 2

Number of fruits in the end
= 10 u
= 10 x 2
= 20

Answer(s): 20