A fruit seller sells only kiwis and pomegranates. The ratio of kiwis to pomegranates is 1 : 2. A total of 99 fruits are added. The number of kiwis becomes 4 times as many as before and the number of pomegranates becomes 4 times as many as before. How many fruits are there in the end?

	Comparing kiwis at first and in the end	Kiwis	Pomegranates	Comparing pomegranates at first and in the end
Before	1x1 = 1 u	1 u	2 u	1x2 = 2 u
Change		+ 99
After	4x1 = 4 u	4 u	8 u	4x2 = 8 u

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

The number of kiwis at first is repeated. Make the number of kiwis 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 + 8 u
= 12 u

Number of fruits added
= 12 u - 3 u 
= 9 u

9 u = 99

1 u = 99 ÷ 9 = 11

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

Answer(s): 132