There were some lemons and apples in Container P and Container Q. In Container P, the ratio of the lemons to the number of apples was 7 : 1. In Container Q, the ratio of the number of lemons to the number of apples was 5 : 3. There were 3 times as many fruits in Container P as in Container Q. After another 60 apples were put into Container Q, the ratio of the number of lemons to the number of apples in Container Q became 1 : 3. How many fruits were there in Container P?

Container P		Container Q
3x8 = 24 u		1x8 = 8 u
Lemons	Apples	Lemons	Apples
7x3	1x3	5	3
21 u	3 u	5 u	3 u

The total number of fruits in Container P is repeated.  Make the total number of fruits in Container P the same.  LCM of 3 and 8 is 24.

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

	Container P		Container Q
	Lemons	Apples	Lemons	Apples
Before	21 u	3 u	5 u	3 u
Change				+ 60
After	21 u	3 u	1x5 = 5 u	3x5 = 15 u

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

Number of apples put into Container Q
= 15 u - 3 u
= 12 u

12 u = 60

1 u = 60 ÷ 12 = 5

Number of fruits in Container P
= 21 u + 3 u
= 24 u
= 24 x 5
= 120

Answer(s): 120