Xylia had some lemons and mangoes in 2 baskets. In Basket A, the number of lemons to the number of mangoes was in the ratio of 5 : 9. In Basket B, there were twice as many lemons as mangoes. After Xylia transferred ²₃ of the mangoes from Basket A to Basket B, the number of fruits left in Basket A was 248 and the ratio of the number of lemons to the number of mangoes in Basket B became 4 : 5. How many fruits were in Basket B in the end?

	Basket A		Basket B
	Lemons	Mangoes	Lemons	Mangoes
Before	5 u	9 u	2x2 =  4 p	1x2 = 2 p
Change		- 6 u		+ 6 u (+ 3 p)
After	5 u	3 u	4x1 = 4 p	5x1 = 5 p

Number of mangoes that Xylia transferred from Basket A to Basket B
= ²₃ x 9 u
= 6 u

Total number of fruits in Basket A in the end
= 5 u + 3 u
= 8 u

8 u = 248
1 u = 248 ÷ 8 = 31

The number of lemons in Basket B is the unchanged quantity.
LCM of 2 and 4 is 4.

Number of mangoes that Xylia transferred from Basket A to Basket B
= 6 u
= 6 x 31
= 186

Increase in the number of mangoes that due to the transfer from Basket A to Basket B
= 5 p - 2 p
= 3 p

3 p = 6 u 
3 p = 186

1 p = 186 ÷ 3 = 62

Number of fruits in Basket B in the end
= 4 p + 5 p
= 9 p
= 9 x 62
= 558

Answer(s): 558