There were some lemons and starfruits in Container U and Container V. In Container U, the ratio of the lemons to the number of starfruits was 3 : 1. In Container V, the ratio of the number of lemons to the number of starfruits was 3 : 1. There were 3 times as many fruits in Container U as in Container V. After another 35 starfruits were put into Container V, the ratio of the number of lemons to the number of starfruits in Container V became 1 : 2. How many fruits were there in Container U?

Container U		Container V
3x4 = 12 u		1x4 = 4 u
Lemons	Starfruits	Lemons	Starfruits
3x3	1x3	3	1
9 u	3 u	3 u	1 u

The total number of fruits in Container U is repeated.  Make the total number of fruits in Container U the same.  LCM of 3 and 4 is 12.

The total number of fruits in Container V at first is repeated.  Make the total number of fruits in Container V the same.  LCM of 1 and 4 is 4.

	Container U		Container V
	Lemons	Starfruits	Lemons	Starfruits
Before	9 u	3 u	3 u	1 u
Change				+ 35
After	9 u	3 u	1x3 = 3 u	2x3 = 6 u

Number of lemons in Container V remains unchanged.  Make the number of lemons in Container V the same.  LCM of 3 and 1 is 3.

Number of starfruits put into Container V
= 6 u - 1 u
= 5 u

5 u = 35

1 u = 35 ÷ 5 = 7

Number of fruits in Container U
= 9 u + 3 u
= 12 u
= 12 x 7
= 84

Answer(s): 84