Yoko had some passion fruits and starfruits in 2 cartons. In Carton K, the number of passion fruits to the number of starfruits was in the ratio of 4 : 9. In Carton L, there were thrice as many passion fruits as starfruits. After Yoko transferred ¹₃ of the starfruits from Carton K to Carton L, the number of fruits left in Carton K was 250 and the ratio of the number of passion fruits to the number of starfruits in Carton B became 2 : 9. How many fruits were in Carton L in the end?

	Carton K		Carton L
	Passion Fruits	Starfruits	Passion Fruits	Starfruits
Before	4 u	9 u	3x2 =  6 p	1x2 = 2 p
Change		- 3 u		+ 3 u (+ 25 p)
After	4 u	6 u	2x3 = 6 p	9x3 = 27 p

Number of starfruits that Yoko transferred from Carton K to Carton L
= ¹₃ x 9 u
= 3 u

Total number of fruits in Carton K in the end
= 4 u + 6 u
= 10 u

10 u = 250
1 u = 250 ÷ 10 = 25

The number of passion fruits in Carton L is the unchanged quantity.
LCM of 3 and 2 is 6.

Number of starfruits that Yoko transferred from Carton K to Carton L
= 3 u
= 3 x 25
= 75

Increase in the number of starfruits that due to the transfer from Carton K to Carton L
= 27 p - 2 p
= 25 p

25 p = 3 u 
25 p = 75

1 p = 75 ÷ 25 = 3

Number of fruits in Carton L in the end
= 6 p + 27 p
= 33 p
= 33 x 3
= 99

Answer(s): 99