Vanessa had four containers, F, G, H and J which contained a total of 209 starfruits. She transferred 9 starfruits from Container F to Container G, 15 starfruits from Container G to Container H and 7 starfruits from Container H to Container J. The ratio of the number of starfruits in Container F to Container G to Container H changed from  4 : 5 : 12 to 1 : 2 : 8. How many starfruits were in Container J at first?

	Make p the same (1)x2 = (3)	F (1)	G (2)	H	J
Before	8 u	4 u	5 u	12 u	?
Change 1	- 18	- 9	+ 9
Change 2			- 15	+ 15
Change 3				- 7	+ 7
After	2 p	1 p	2 p	8 p	?

4 u - 9 = 1 p --- (1)

5 u + 9 - 15 = 2 p
5 u - 6 = 2 p --- (2)

(1) _{x 2}
8 u - 18 = 2 p --- (3)

Make p the same.

(3) = (2)
8 u - 18 = 5 u - 6
8 u - 5 u = 18 - 6
3 u = 12

1 u = 12 ÷ 3 = 4

Total number of starfruits in Container F, Container G and Container H
= 4 u + 5 u + 12 u
= 21 u

Total number of starfruits in Container J at first
= 209 - 21 u
= 209 - 21 x 4
= 209 - 84
= 125

Answer(s): 125