There were some oranges and mangoes in Container Q and Container R. In Container Q, the ratio of the oranges to the number of mangoes was 5 : 1. In Container R, the ratio of the number of oranges to the number of mangoes was 5 : 3. There were 3 times as many fruits in Container Q as in Container R. After another 96 mangoes were put into Container R, the ratio of the number of oranges to the number of mangoes in Container R became 1 : 3. How many fruits were there in Container Q?

Container Q		Container R
3x8 = 24 u		1x8 = 8 u
Oranges	Mangoes	Oranges	Mangoes
5x4	1x4	5	3
20 u	4 u	5 u	3 u

The total number of fruits in Container Q is repeated.  Make the total number of fruits in Container Q the same.  LCM of 3 and 6 is 24.

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

	Container Q		Container R
	Oranges	Mangoes	Oranges	Mangoes
Before	20 u	4 u	5 u	3 u
Change				+ 96
After	20 u	4 u	1x5 = 5 u	3x5 = 15 u

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

Number of mangoes put into Container R
= 15 u - 3 u
= 12 u

12 u = 96

1 u = 96 ÷ 12 = 8

Number of fruits in Container Q
= 20 u + 4 u
= 24 u
= 24 x 8
= 192

Answer(s): 192