There were some oranges and apples in Container W and Container X. In Container W, the ratio of the oranges to the number of apples was 3 : 1. In Container X, the ratio of the number of oranges to the number of apples was 5 : 3. There were 2 times as many fruits in Container W as in Container X. After another 153 apples were put into Container X, the ratio of the number of oranges to the number of apples in Container X became 1 : 4. How many fruits were there in Container X in the end?

Container W		Container X
2x8 = 16 u		1x8 = 8 u
Oranges	Apples	Oranges	Apples
3x4	1x4	5	3
12 u	4 u	5 u	3 u

The total number of fruits in Container W is repeated.  Make the total number of fruits in Container W the same.  LCM of 2 and 4 is 16.

The total number of fruits in Container X at first is repeated.  Make the total number of fruits in Container X the same.  LCM of 1 and 8 is 8.

	Container W		Container X
	Oranges	Apples	Oranges	Apples
Before	12 u	4 u	5 u	3 u
Change				+ 153
After	12 u	4 u	1x5 = 5 u	4x5 = 20 u

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

Number of apples put into Container X
= 20 u - 3 u
= 17 u

17 u = 153

1 u = 153 ÷ 17 = 9

Number of fruits in Container X in the end
= 5 u + 20 u
= 25 u
= 25 x 9
= 225

Answer(s): 225