A fruit seller sells only pears and passion fruits. The ratio of pears to passion fruits is 2 : 5. A total of 240 fruits are added. The number of pears becomes 2 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 pears at first and in the end	Pears	Passion Fruits	Comparing passion fruits at first and in the end
Before	1x2 = 2 u	2 u	5 u	1x5 = 5 u
Change		+ 240
After	2x2 = 4 u	4 u	15 u	3x5 = 15 u

The number of passion fruits at first is repeated.  Make the number of passion fruits at first the same.  LCM of 1 and 5 is 5.

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

Number of fruits at first
= 2 u + 5 u
= 7 u

Number of fruits in the end
= 4 u + 15 u
= 19 u

Number of fruits added
= 19 u - 7 u 
= 12 u

12 u = 240

1 u = 240 ÷ 12 = 20

Number of fruits in the end
= 19 u
= 19 x 20
= 380

Answer(s): 380