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

Box S		Box T
3x4 = 12 u		1x4 = 4 u
Mangosteens	Apples	Mangosteens	Apples
2x4	1x4	3	1
8 u	4 u	3 u	1 u

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

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

	Box S		Box T
	Mangosteens	Apples	Mangosteens	Apples
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 T remains unchanged.  Make the number of mangosteens in Box T the same.  LCM of 3 and 1 is 3.

Number of apples put into Box T
= 12 u - 1 u
= 11 u

11 u = 44

1 u = 44 ÷ 11 = 4

Number of fruits in Box T in the end
= 3 u + 12 u
= 15 u
= 15 x 4
= 60

Answer(s): 60