Kimberly had four boxes, V, W, X and Y which contained a total of 337 passion fruits. She transferred 21 passion fruits from Box V to Box W, 49 passion fruits from Box W to Box X and 52 passion fruits from Box X to Box Y. The ratio of the number of passion fruits in Box V to Box W to Box X changed from  3 : 8 : 9 to 1 : 5 : 8. How many passion fruits were in Box Y at first?

	Make p the same (1)x5 = (3)	V (1)	W (2)	X	Y
Before	15 u	3 u	8 u	9 u	?
Change 1	- 105	- 21	+ 21
Change 2			- 49	+ 49
Change 3				- 52	+ 52
After	5 p	1 p	5 p	8 p	?

3 u - 21 = 1 p --- (1)

8 u + 21 - 49 = 5 p
8 u - 28 = 5 p --- (2)

(1) _{x 5}
15 u - 105 = 5 p --- (3)

Make p the same.

(3) = (2)
15 u - 105 = 8 u - 28
15 u - 8 u = 105 - 28
7 u = 77

1 u = 77 ÷ 7 = 11

Total number of passion fruits in Box V, Box W and Box X
= 3 u + 8 u + 9 u
= 20 u

Total number of passion fruits in Box Y at first
= 337 - 20 u
= 337 - 20 x 11
= 337 - 220
= 117

Answer(s): 117