Jen had some mangosteens and lemons in 2 boxes. In Box M, the number of mangosteens to the number of lemons was in the ratio of 4 : 9. In Box N, there were twice as many mangosteens as lemons. After Jen transferred ²₃ of the lemons from Box M to Box N, the number of fruits left in Box M was 189 and the ratio of the number of mangosteens to the number of lemons in Box B became 5 : 7. How many fruits were in Box N in the end?

	Box M		Box N
	Mangosteens	Lemons	Mangosteens	Lemons
Before	4 u	9 u	2x5 =  10 p	1x5 = 5 p
Change		- 6 u		+ 6 u (+ 9 p)
After	4 u	3 u	5x2 = 10 p	7x2 = 14 p

Number of lemons that Jen transferred from Box M to Box N
= ²₃ x 9 u
= 6 u

Total number of fruits in Box M in the end
= 4 u + 3 u
= 7 u

7 u = 189
1 u = 189 ÷ 7 = 27

The number of mangosteens in Box N is the unchanged quantity.
LCM of 2 and 5 is 10.

Number of lemons that Jen transferred from Box M to Box N
= 6 u
= 6 x 27
= 162

Increase in the number of lemons that due to the transfer from Box M to Box N
= 14 p - 5 p
= 9 p

9 p = 6 u 
9 p = 162

1 p = 162 ÷ 9 = 18

Number of fruits in Box N in the end
= 10 p + 14 p
= 24 p
= 24 x 18
= 432

Answer(s): 432