Natalie had some mangosteens and apples in 2 baskets. In Basket K, the number of mangosteens to the number of apples was in the ratio of 5 : 9. In Basket L, there were twice as many mangosteens as apples. After Natalie transferred ¹₃ of the apples from Basket K to Basket L, the number of fruits left in Basket K was 132 and the ratio of the number of mangosteens to the number of apples in Basket B became 1 : 5. How many fruits were in Basket L in the end?

	Basket K		Basket L
	Mangosteens	Apples	Mangosteens	Apples
Before	5 u	9 u	2x1 =  2 p	1x1 = 1 p
Change		- 3 u		+ 3 u (+ 9 p)
After	5 u	6 u	1x2 = 2 p	5x2 = 10 p

Number of apples that Natalie transferred from Basket K to Basket L
= ¹₃ x 9 u
= 3 u

Total number of fruits in Basket K in the end
= 5 u + 6 u
= 11 u

11 u = 132
1 u = 132 ÷ 11 = 12

The number of mangosteens in Basket L is the unchanged quantity.
LCM of 2 and 1 is 2.

Number of apples that Natalie transferred from Basket K to Basket L
= 3 u
= 3 x 12
= 36

Increase in the number of apples that due to the transfer from Basket K to Basket L
= 10 p - 1 p
= 9 p

9 p = 3 u 
9 p = 36

1 p = 36 ÷ 9 = 4

Number of fruits in Basket L in the end
= 2 p + 10 p
= 12 p
= 12 x 4
= 48

Answer(s): 48