Tina had four containers, E, F, G and H which contained a total of 334 mangoes. She transferred 16 mangoes from Container E to Container F, 47 mangoes from Container F to Container G and 103 mangoes from Container G to Container H. The ratio of the number of mangoes in Container E to Container F to Container G changed from  2 : 5 : 10 to 1 : 4 : 9. How many mangoes were in Container H at first?

	Make p the same (1)x4 = (3)	E (1)	F (2)	G	H
Before	8 u	2 u	5 u	10 u	?
Change 1	- 64	- 16	+ 16
Change 2			- 47	+ 47
Change 3				- 103	+ 103
After	4 p	1 p	4 p	9 p	?

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

5 u + 16 - 47 = 4 p
5 u - 31 = 4 p --- (2)

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

Make p the same.

(3) = (2)
8 u - 64 = 5 u - 31
8 u - 5 u = 64 - 31
3 u = 33

1 u = 33 ÷ 3 = 11

Total number of mangoes in Container E, Container F and Container G
= 2 u + 5 u + 10 u
= 17 u

Total number of mangoes in Container H at first
= 334 - 17 u
= 334 - 17 x 11
= 334 - 187
= 147

Answer(s): 147