Roshel had four containers, U, V, W and X which contained a total of 225 persimmons. She transferred 12 persimmons from Container U to Container V, 27 persimmons from Container V to Container W and 56 persimmons from Container W to Container X. The ratio of the number of persimmons in Container U to Container V to Container W changed from  2 : 5 : 9 to 1 : 4 : 7. How many persimmons were in Container X at first?

	Make p the same (1)x4 = (3)	U (1)	V (2)	W	X
Before	8 u	2 u	5 u	9 u	?
Change 1	- 48	- 12	+ 12
Change 2			- 27	+ 27
Change 3				- 56	+ 56
After	4 p	1 p	4 p	7 p	?

2 u - 12 = 1 p --- (1)

5 u + 12 - 27 = 4 p
5 u - 15 = 4 p --- (2)

(1) _{x 4}
8 u - 48 = 4 p --- (3)

Make p the same.

(3) = (2)
8 u - 48 = 5 u - 15
8 u - 5 u = 48 - 15
3 u = 33

1 u = 33 ÷ 3 = 11

Total number of persimmons in Container U, Container V and Container W
= 2 u + 5 u + 9 u
= 16 u

Total number of persimmons in Container X at first
= 225 - 16 u
= 225 - 16 x 11
= 225 - 176
= 49

Answer(s): 49