Usha had four containers, E, F, G and H which contained a total of 135 mangoes. She transferred 19 mangoes from Container E to Container F, 24 mangoes from Container F to Container G and 61 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  4 : 5 : 12 to 1 : 5 : 7. How many mangoes were in Container H at first?

	Make p the same (1)x5 = (3)	E (1)	F (2)	G	H
Before	20 u	4 u	5 u	12 u	?
Change 1	- 95	- 19	+ 19
Change 2			- 24	+ 24
Change 3				- 61	+ 61
After	5 p	1 p	5 p	7 p	?

4 u - 19 = 1 p --- (1)

5 u + 19 - 24 = 5 p
5 u - 5 = 5 p --- (2)

(1) _{x 5}
20 u - 95 = 5 p --- (3)

Make p the same.

(3) = (2)
20 u - 95 = 5 u - 5
20 u - 5 u = 95 - 5
15 u = 90

1 u = 90 ÷ 15 = 6

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

Total number of mangoes in Container H at first
= 135 - 21 u
= 135 - 21 x 6
= 135 - 126
= 9

Answer(s): 9