Penelope had some mangosteens and lemons in 2 boxes. In Box U, the number of mangosteens to the number of lemons was in the ratio of 5 : 8. In Box V, there were five times as many mangosteens as lemons. After Penelope transferred ³₄ of the lemons from Box U to Box V, the number of fruits left in Box U was 203 and the ratio of the number of mangosteens to the number of lemons in Box B became 1 : 6. How many fruits were in Box V in the end?

	Box U		Box V
	Mangosteens	Lemons	Mangosteens	Lemons
Before	5 u	8 u	5x1 =  5 p	1x1 = 1 p
Change		- 6 u		+ 6 u (+ 29 p)
After	5 u	2 u	1x5 = 5 p	6x5 = 30 p

Number of lemons that Penelope transferred from Box U to Box V
= ³₄ x 8 u
= 6 u

Total number of fruits in Box U in the end
= 5 u + 2 u
= 7 u

7 u = 203
1 u = 203 ÷ 7 = 29

The number of mangosteens in Box V is the unchanged quantity.
LCM of 5 and 1 is 5.

Number of lemons that Penelope transferred from Box U to Box V
= 6 u
= 6 x 29
= 174

Increase in the number of lemons that due to the transfer from Box U to Box V
= 30 p - 1 p
= 29 p

29 p = 6 u 
29 p = 174

1 p = 174 ÷ 29 = 6

Number of fruits in Box V in the end
= 5 p + 30 p
= 35 p
= 35 x 6
= 210

Answer(s): 210