Sarah had some passion fruits and mangoes in 2 cartons. In Carton D, the number of passion fruits to the number of mangoes was in the ratio of 5 : 9. In Carton E, there were five times as many passion fruits as mangoes. After Sarah transferred ¹₃ of the mangoes from Carton D to Carton E, the number of fruits left in Carton D was 418 and the ratio of the number of passion fruits to the number of mangoes in Carton B became 1 : 4. How many fruits were in Carton E in the end?

	Carton D		Carton E
	Passion Fruits	Mangoes	Passion Fruits	Mangoes
Before	5 u	9 u	5x1 =  5 p	1x1 = 1 p
Change		- 3 u		+ 3 u (+ 19 p)
After	5 u	6 u	1x5 = 5 p	4x5 = 20 p

Number of mangoes that Sarah transferred from Carton D to Carton E
= ¹₃ x 9 u
= 3 u

Total number of fruits in Carton D in the end
= 5 u + 6 u
= 11 u

11 u = 418
1 u = 418 ÷ 11 = 38

The number of passion fruits in Carton E is the unchanged quantity.
LCM of 5 and 1 is 5.

Number of mangoes that Sarah transferred from Carton D to Carton E
= 3 u
= 3 x 38
= 114

Increase in the number of mangoes that due to the transfer from Carton D to Carton E
= 20 p - 1 p
= 19 p

19 p = 3 u 
19 p = 114

1 p = 114 ÷ 19 = 6

Number of fruits in Carton E in the end
= 5 p + 20 p
= 25 p
= 25 x 6
= 150

Answer(s): 150