Lucy had some pears and passion fruits in 2 cartons. In Carton P, the number of pears to the number of passion fruits was in the ratio of 3 : 10. In Carton Q, there were thrice as many pears as passion fruits. After Lucy transferred ³₅ of the passion fruits from Carton P to Carton Q, the number of fruits left in Carton P was 119 and the ratio of the number of pears to the number of passion fruits in Carton B became 4 : 7. How many fruits were in Carton Q in the end?

	Carton P		Carton Q
	Pears	Passion Fruits	Pears	Passion Fruits
Before	3 u	10 u	3x4 =  12 p	1x4 = 4 p
Change		- 6 u		+ 6 u (+ 17 p)
After	3 u	4 u	4x3 = 12 p	7x3 = 21 p

Number of passion fruits that Lucy transferred from Carton P to Carton Q
= ³₅ x 10 u
= 6 u

Total number of fruits in Carton P in the end
= 3 u + 4 u
= 7 u

7 u = 119
1 u = 119 ÷ 7 = 17

The number of pears in Carton Q is the unchanged quantity.
LCM of 3 and 4 is 12.

Number of passion fruits that Lucy transferred from Carton P to Carton Q
= 6 u
= 6 x 17
= 102

Increase in the number of passion fruits that due to the transfer from Carton P to Carton Q
= 21 p - 4 p
= 17 p

17 p = 6 u 
17 p = 102

1 p = 102 ÷ 17 = 6

Number of fruits in Carton Q in the end
= 12 p + 21 p
= 33 p
= 33 x 6
= 198

Answer(s): 198