Emma had four containers, V, W, X and Y which contained a total of 338 mangoes. She transferred 36 mangoes from Container V to Container W, 76 mangoes from Container W to Container X and 154 mangoes from Container X to Container Y. The ratio of the number of mangoes in Container V to Container W to Container X changed from  3 : 5 : 9 to 1 : 5 : 8. How many mangoes were in Container Y at first?

	Make p the same (1)x5 = (3)	V (1)	W (2)	X	Y
Before	15 u	3 u	5 u	9 u	?
Change 1	- 180	- 36	+ 36
Change 2			- 76	+ 76
Change 3				- 154	+ 154
After	5 p	1 p	5 p	8 p	?

3 u - 36 = 1 p --- (1)

5 u + 36 - 76 = 5 p
5 u - 40 = 5 p --- (2)

(1) _{x 5}
15 u - 180 = 5 p --- (3)

Make p the same.

(3) = (2)
15 u - 180 = 5 u - 40
15 u - 5 u = 180 - 40
10 u = 140

1 u = 140 ÷ 10 = 14

Total number of mangoes in Container V, Container W and Container X
= 3 u + 5 u + 9 u
= 17 u

Total number of mangoes in Container Y at first
= 338 - 17 u
= 338 - 17 x 14
= 338 - 238
= 100

Answer(s): 100