Linda had four containers, F, G, H and J which contained a total of 267 lemons. She transferred 30 lemons from Container F to Container G, 103 lemons from Container G to Container H and 195 lemons from Container H to Container J. The ratio of the number of lemons in Container F to Container G to Container H changed from  3 : 8 : 10 to 1 : 5 : 6. How many lemons were in Container J at first?

	Make p the same (1)x5 = (3)	F (1)	G (2)	H	J
Before	15 u	3 u	8 u	10 u	?
Change 1	- 150	- 30	+ 30
Change 2			- 103	+ 103
Change 3				- 195	+ 195
After	5 p	1 p	5 p	6 p	?

3 u - 30 = 1 p --- (1)

8 u + 30 - 103 = 5 p
8 u - 73 = 5 p --- (2)

(1) _{x 5}
15 u - 150 = 5 p --- (3)

Make p the same.

(3) = (2)
15 u - 150 = 8 u - 73
15 u - 8 u = 150 - 73
7 u = 77

1 u = 77 ÷ 7 = 11

Total number of lemons in Container F, Container G and Container H
= 3 u + 8 u + 10 u
= 21 u

Total number of lemons in Container J at first
= 267 - 21 u
= 267 - 21 x 11
= 267 - 231
= 36

Answer(s): 36