Victoria had four containers, N, P, Q and R which contained a total of 299 kiwis. She transferred 16 kiwis from Container N to Container P, 26 kiwis from Container P to Container Q and 37 kiwis from Container Q to Container R. The ratio of the number of kiwis in Container N to Container P to Container Q changed from  3 : 6 : 11 to 1 : 4 : 8. How many kiwis were in Container R at first?

	Make p the same (1)x4 = (3)	N (1)	P (2)	Q	R
Before	12 u	3 u	6 u	11 u	?
Change 1	- 64	- 16	+ 16
Change 2			- 26	+ 26
Change 3				- 37	+ 37
After	4 p	1 p	4 p	8 p	?

3 u - 16 = 1 p --- (1)

6 u + 16 - 26 = 4 p
6 u - 10 = 4 p --- (2)

(1) _{x 4}
12 u - 64 = 4 p --- (3)

Make p the same.

(3) = (2)
12 u - 64 = 6 u - 10
12 u - 6 u = 64 - 10
6 u = 54

1 u = 54 ÷ 6 = 9

Total number of kiwis in Container N, Container P and Container Q
= 3 u + 6 u + 11 u
= 20 u

Total number of kiwis in Container R at first
= 299 - 20 u
= 299 - 20 x 9
= 299 - 180
= 119

Answer(s): 119