Emily had some starfruits and mangoes in 2 cartons. In Carton P, the number of starfruits to the number of mangoes was in the ratio of 5 : 9. In Carton Q, there were twice as many starfruits as mangoes. After Emily transferred ¹₃ of the mangoes from Carton P to Carton Q, the number of fruits left in Carton P was 198 and the ratio of the number of starfruits to the number of mangoes in Carton B became 5 : 7. How many fruits were in Carton Q in the end?

	Carton P		Carton Q
	Starfruits	Mangoes	Starfruits	Mangoes
Before	5 u	9 u	2x5 =  10 p	1x5 = 5 p
Change		- 3 u		+ 3 u (+ 9 p)
After	5 u	6 u	5x2 = 10 p	7x2 = 14 p

Number of mangoes that Emily transferred from Carton P to Carton Q
= ¹₃ x 9 u
= 3 u

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

11 u = 198
1 u = 198 ÷ 11 = 18

The number of starfruits in Carton Q is the unchanged quantity.
LCM of 2 and 5 is 10.

Number of mangoes that Emily transferred from Carton P to Carton Q
= 3 u
= 3 x 18
= 54

Increase in the number of mangoes that due to the transfer from Carton P to Carton Q
= 14 p - 5 p
= 9 p

9 p = 3 u 
9 p = 54

1 p = 54 ÷ 9 = 6

Number of fruits in Carton Q in the end
= 10 p + 14 p
= 24 p
= 24 x 6
= 144

Answer(s): 144