Kylie had four containers, E, F, G and H which contained a total of 332 chikoos. She transferred 30 chikoos from Container E to Container F, 54 chikoos from Container F to Container G and 108 chikoos from Container G to Container H. The ratio of the number of chikoos in Container E to Container F to Container G changed from  2 : 3 : 6 to 1 : 5 : 9. How many chikoos were in Container H at first?

	Make p the same (1)x5 = (3)	E (1)	F (2)	G	H
Before	10 u	2 u	3 u	6 u	?
Change 1	- 150	- 30	+ 30
Change 2			- 54	+ 54
Change 3				- 108	+ 108
After	5 p	1 p	5 p	9 p	?

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

3 u + 30 - 54 = 5 p
3 u - 24 = 5 p --- (2)

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

Make p the same.

(3) = (2)
10 u - 150 = 3 u - 24
10 u - 3 u = 150 - 24
7 u = 126

1 u = 126 ÷ 7 = 18

Total number of chikoos in Container E, Container F and Container G
= 2 u + 3 u + 6 u
= 11 u

Total number of chikoos in Container H at first
= 332 - 11 u
= 332 - 11 x 18
= 332 - 198
= 134

Answer(s): 134