There were some oranges and mangosteens in Box D and Box E. In Box D, the ratio of the oranges to the number of mangosteens was 7 : 1. In Box E, the ratio of the number of oranges to the number of mangosteens was 5 : 3. There were 2 times as many fruits in Box D as in Box E. After another 34 mangosteens were put into Box E, the ratio of the number of oranges to the number of mangosteens in Box E became 1 : 4. How many fruits were there in Box D?

Box D		Box E
2x8 = 16 u		1x8 = 8 u
Oranges	Mangosteens	Oranges	Mangosteens
7x2	1x2	5	3
14 u	2 u	5 u	3 u

The total number of fruits in Box D is repeated.  Make the total number of fruits in Box D the same.  LCM of 2 and 8 is 16.

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

	Box D		Box E
	Oranges	Mangosteens	Oranges	Mangosteens
Before	14 u	2 u	5 u	3 u
Change				+ 34
After	14 u	2 u	1x5 = 5 u	4x5 = 20 u

Number of oranges in Box E remains unchanged.  Make the number of oranges in Box E the same.  LCM of 5 and 1 is 5.

Number of mangosteens put into Box E
= 20 u - 3 u
= 17 u

17 u = 34

1 u = 34 ÷ 17 = 2

Number of fruits in Box D
= 14 u + 2 u
= 16 u
= 16 x 2
= 32

Answer(s): 32