There were some persimmons and passion fruits in Container P and Container Q. In Container P, the ratio of the persimmons to the number of passion fruits was 11 : 1. In Container Q, the ratio of the number of persimmons to the number of passion fruits was 5 : 3. There were 3 times as many fruits in Container P as in Container Q. After another 48 passion fruits were put into Container Q, the ratio of the number of persimmons to the number of passion fruits in Container Q became 1 : 3. How many fruits were there in Container P?

Container P		Container Q
3x8 = 24 u		1x8 = 8 u
Persimmons	Passion fruits	Persimmons	Passion fruits
11x2	1x2	5	3
22 u	2 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 12 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
	Persimmons	Passion fruits	Persimmons	Passion fruits
Before	22 u	2 u	5 u	3 u
Change				+ 48
After	22 u	2 u	1x5 = 5 u	3x5 = 15 u

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

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

12 u = 48

1 u = 48 ÷ 12 = 4

Number of fruits in Container P
= 22 u + 2 u
= 24 u
= 24 x 4
= 96

Answer(s): 96