There were some mangosteens and apples in Container Q and Container R. In Container Q, the ratio of the mangosteens to the number of apples was 7 : 1. In Container R, the ratio of the number of mangosteens to the number of apples was 5 : 3. There were 2 times as many fruits in Container Q as in Container R. After another 24 apples were put into Container R, the ratio of the number of mangosteens to the number of apples in Container R became 1 : 3. How many fruits were there in Container R in the end?

Container Q		Container R
2x8 = 16 u		1x8 = 8 u
Mangosteens	Apples	Mangosteens	Apples
7x2	1x2	5	3
14 u	2 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 2 and 8 is 16.

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
	Mangosteens	Apples	Mangosteens	Apples
Before	14 u	2 u	5 u	3 u
Change				+ 24
After	14 u	2 u	1x5 = 5 u	3x5 = 15 u

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

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

12 u = 24

1 u = 24 ÷ 12 = 2

Number of fruits in Container R in the end
= 5 u + 15 u
= 20 u
= 20 x 2
= 40

Answer(s): 40