Yen had four boxes, D, E, F and G which contained a total of 195 oranges. She transferred 27 oranges from Box D to Box E, 51 oranges from Box E to Box F and 58 oranges from Box F to Box G. The ratio of the number of oranges in Box D to Box E to Box F changed from  2 : 3 : 5 to 1 : 3 : 8. How many oranges were in Box G at first?

	Make p the same (1)x3 = (3)	D (1)	E (2)	F	G
Before	6 u	2 u	3 u	5 u	?
Change 1	- 81	- 27	+ 27
Change 2			- 51	+ 51
Change 3				- 58	+ 58
After	3 p	1 p	3 p	8 p	?

2 u - 27 = 1 p --- (1)

3 u + 27 - 51 = 3 p
3 u - 24 = 3 p --- (2)

(1) _{x 3}
6 u - 81 = 3 p --- (3)

Make p the same.

(3) = (2)
6 u - 81 = 3 u - 24
6 u - 3 u = 81 - 24
3 u = 57

1 u = 57 ÷ 3 = 19

Total number of oranges in Box D, Box E and Box F
= 2 u + 3 u + 5 u
= 10 u

Total number of oranges in Box G at first
= 195 - 10 u
= 195 - 10 x 19
= 195 - 190
= 5

Answer(s): 5