Usha had four containers, U, V, W and X which contained a total of 305 starfruits. She transferred 34 starfruits from Container U to Container V, 97 starfruits from Container V to Container W and 192 starfruits from Container W to Container X. The ratio of the number of starfruits in Container U to Container V to Container W changed from  3 : 6 : 10 to 1 : 3 : 7. How many starfruits were in Container X at first?

	Make p the same (1)x3 = (3)	U (1)	V (2)	W	X
Before	9 u	3 u	6 u	10 u	?
Change 1	- 102	- 34	+ 34
Change 2			- 97	+ 97
Change 3				- 192	+ 192
After	3 p	1 p	3 p	7 p	?

3 u - 34 = 1 p --- (1)

6 u + 34 - 97 = 3 p
6 u - 63 = 3 p --- (2)

(1) _{x 3}
9 u - 102 = 3 p --- (3)

Make p the same.

(3) = (2)
9 u - 102 = 6 u - 63
9 u - 6 u = 102 - 63
3 u = 39

1 u = 39 ÷ 3 = 13

Total number of starfruits in Container U, Container V and Container W
= 3 u + 6 u + 10 u
= 19 u

Total number of starfruits in Container X at first
= 305 - 19 u
= 305 - 19 x 13
= 305 - 247
= 58

Answer(s): 58