Esther had some lemons and persimmons in 2 baskets. In Basket A, the number of lemons to the number of persimmons was in the ratio of 4 : 9. In Basket B, there were four times as many lemons as persimmons. After Esther transferred ¹₃ of the persimmons from Basket A to Basket B, the number of fruits left in Basket A was 220 and the ratio of the number of lemons to the number of persimmons in Basket B became 6 : 7. How many fruits were in Basket B in the end?

	Basket A		Basket B
	Lemons	Persimmons	Lemons	Persimmons
Before	4 u	9 u	4x3 =  12 p	1x3 = 3 p
Change		- 3 u		+ 3 u (+ 11 p)
After	4 u	6 u	6x2 = 12 p	7x2 = 14 p

Number of persimmons that Esther transferred from Basket A to Basket B
= ¹₃ x 9 u
= 3 u

Total number of fruits in Basket A in the end
= 4 u + 6 u
= 10 u

10 u = 220
1 u = 220 ÷ 10 = 22

The number of lemons in Basket B is the unchanged quantity.
LCM of 4 and 6 is 12.

Number of persimmons that Esther transferred from Basket A to Basket B
= 3 u
= 3 x 22
= 66

Increase in the number of persimmons that due to the transfer from Basket A to Basket B
= 14 p - 3 p
= 11 p

11 p = 3 u 
11 p = 66

1 p = 66 ÷ 11 = 6

Number of fruits in Basket B in the end
= 12 p + 14 p
= 26 p
= 26 x 6
= 156

Answer(s): 156