A fruit seller sells only pomegranates and kiwis. The ratio of pomegranates to kiwis is 3 : 4. A total of 117 fruits are added. The number of pomegranates becomes 4 times as many as before and the number of kiwis becomes 2 times as many as before. How many fruits are there in the end?

	Comparing pomegranates at first and in the end	Pomegranates	Kiwis	Comparing kiwis at first and in the end
Before	1x3 = 3 u	3 u	4 u	1x4 = 4 u
Change		+ 117
After	4x3 = 12 u	12 u	8 u	2x4 = 8 u

The number of kiwis at first is repeated.  Make the number of kiwis at first the same.  LCM of 1 and 4 is 4.

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

Number of fruits at first
= 3 u + 4 u
= 7 u

Number of fruits in the end
= 12 u + 8 u
= 20 u

Number of fruits added
= 20 u - 7 u 
= 13 u

13 u = 117

1 u = 117 ÷ 13 = 9

Number of fruits in the end
= 20 u
= 20 x 9
= 180

Answer(s): 180