Cathy had some mangosteens and persimmons in 2 boxes. In Box V, the number of mangosteens to the number of persimmons was in the ratio of 3 : 10. In Box W, there were twice as many mangosteens as persimmons. After Cathy transferred ²₅ of the persimmons from Box V to Box W, the number of fruits left in Box V was 315 and the ratio of the number of mangosteens to the number of persimmons in Box B became 8 : 9. How many fruits were in Box W in the end?

	Box V		Box W
	Mangosteens	Persimmons	Mangosteens	Persimmons
Before	3 u	10 u	2x4 =  8 p	1x4 = 4 p
Change		- 4 u		+ 4 u (+ 5 p)
After	3 u	6 u	8x1 = 8 p	9x1 = 9 p

Number of persimmons that Cathy transferred from Box V to Box W
= ²₅ x 10 u
= 4 u

Total number of fruits in Box V in the end
= 3 u + 6 u
= 9 u

9 u = 315
1 u = 315 ÷ 9 = 35

The number of mangosteens in Box W is the unchanged quantity.
LCM of 2 and 8 is 8.

Number of persimmons that Cathy transferred from Box V to Box W
= 4 u
= 4 x 35
= 140

Increase in the number of persimmons that due to the transfer from Box V to Box W
= 9 p - 4 p
= 5 p

5 p = 4 u 
5 p = 140

1 p = 140 ÷ 5 = 28

Number of fruits in Box W in the end
= 8 p + 9 p
= 17 p
= 17 x 28
= 476

Answer(s): 476