There were some mangosteens and mangoes in Box P and Box Q. In Box P, the ratio of the mangosteens to the number of mangoes was 2 : 1. In Box Q, the ratio of the number of mangosteens to the number of mangoes was 3 : 1. There were 3 times as many fruits in Box P as in Box Q. After another 44 mangoes were put into Box Q, the ratio of the number of mangosteens to the number of mangoes in Box Q became 1 : 4. How many fruits were there in Box P?

Box P		Box Q
3x4 = 12 u		1x4 = 4 u
Mangosteens	Mangoes	Mangosteens	Mangoes
2x4	1x4	3	1
8 u	4 u	3 u	1 u

The total number of fruits in Box P is repeated.  Make the total number of fruits in Box P the same.  LCM of 3 and 3 is 12.

The total number of fruits in Box Q at first is repeated.  Make the total number of fruits in Box Q the same.  LCM of 1 and 4 is 4.

	Box P		Box Q
	Mangosteens	Mangoes	Mangosteens	Mangoes
Before	8 u	4 u	3 u	1 u
Change				+ 44
After	8 u	4 u	1x3 = 3 u	4x3 = 12 u

Number of mangosteens in Box Q remains unchanged.  Make the number of mangosteens in Box Q the same.  LCM of 3 and 1 is 3.

Number of mangoes put into Box Q
= 12 u - 1 u
= 11 u

11 u = 44

1 u = 44 ÷ 11 = 4

Number of fruits in Box P
= 8 u + 4 u
= 12 u
= 12 x 4
= 48

Answer(s): 48