There were some starfruits and lemons in Container U and Container V. In Container U, the ratio of the starfruits to the number of lemons was 11 : 1. In Container V, the ratio of the number of starfruits to the number of lemons was 5 : 3. There were 3 times as many fruits in Container U as in Container V. After another 34 lemons were put into Container V, the ratio of the number of starfruits to the number of lemons in Container V became 1 : 4. How many fruits were there in Container U?

Container U		Container V
3x8 = 24 u		1x8 = 8 u
Starfruits	Lemons	Starfruits	Lemons
11x2	1x2	5	3
22 u	2 u	5 u	3 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 12 is 24.

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 8 is 8.

	Container U		Container V
	Starfruits	Lemons	Starfruits	Lemons
Before	22 u	2 u	5 u	3 u
Change				+ 34
After	22 u	2 u	1x5 = 5 u	4x5 = 20 u

Number of starfruits in Container V remains unchanged.  Make the number of starfruits in Container V the same.  LCM of 5 and 1 is 5.

Number of lemons put into Container V
= 20 u - 3 u
= 17 u

17 u = 34

1 u = 34 ÷ 17 = 2

Number of fruits in Container U
= 22 u + 2 u
= 24 u
= 24 x 2
= 48

Answer(s): 48