Opal had four boxes, D, E, F and G which contained a total of 303 persimmons. She transferred 27 persimmons from Box D to Box E, 95 persimmons from Box E to Box F and 191 persimmons from Box F to Box G. The ratio of the number of persimmons in Box D to Box E to Box F changed from  3 : 8 : 12 to 1 : 4 : 8. How many persimmons were in Box G at first?

	Make p the same (1)x4 = (3)	D (1)	E (2)	F	G
Before	12 u	3 u	8 u	12 u	?
Change 1	- 108	- 27	+ 27
Change 2			- 95	+ 95
Change 3				- 191	+ 191
After	4 p	1 p	4 p	8 p	?

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

8 u + 27 - 95 = 4 p
8 u - 68 = 4 p --- (2)

(1) _{x 4}
12 u - 108 = 4 p --- (3)

Make p the same.

(3) = (2)
12 u - 108 = 8 u - 68
12 u - 8 u = 108 - 68
4 u = 40

1 u = 40 ÷ 4 = 10

Total number of persimmons in Box D, Box E and Box F
= 3 u + 8 u + 12 u
= 23 u

Total number of persimmons in Box G at first
= 303 - 23 u
= 303 - 23 x 10
= 303 - 230
= 73

Answer(s): 73