There were some oranges and passion fruits in Box K and Box L. In Box K, the ratio of the oranges to the number of passion fruits was 3 : 1. In Box L, the ratio of the number of oranges to the number of passion fruits was 5 : 3. There were 2 times as many fruits in Box K as in Box L. After another 56 passion fruits were put into Box L, the ratio of the number of oranges to the number of passion fruits in Box L became 1 : 2. How many fruits were there in Box K?

Box K		Box L
2x8 = 16 u		1x8 = 8 u
Oranges	Passion fruits	Oranges	Passion fruits
3x4	1x4	5	3
12 u	4 u	5 u	3 u

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

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

	Box K		Box L
	Oranges	Passion fruits	Oranges	Passion fruits
Before	12 u	4 u	5 u	3 u
Change				+ 56
After	12 u	4 u	1x5 = 5 u	2x5 = 10 u

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

Number of passion fruits put into Box L
= 10 u - 3 u
= 7 u

7 u = 56

1 u = 56 ÷ 7 = 8

Number of fruits in Box K
= 12 u + 4 u
= 16 u
= 16 x 8
= 128

Answer(s): 128