Betty had some passion fruits and pomegranates in 2 crates. In Crate P, the number of passion fruits to the number of pomegranates was in the ratio of 4 : 9. In Crate Q, there were twice as many passion fruits as pomegranates. After Betty transferred ²₃ of the pomegranates from Crate P to Crate Q, the number of fruits left in Crate P was 224 and the ratio of the number of passion fruits to the number of pomegranates in Crate B became 4 : 5. How many fruits were in Crate Q in the end?

	Crate P		Crate Q
	Passion Fruits	Pomegranates	Passion Fruits	Pomegranates
Before	4 u	9 u	2x2 =  4 p	1x2 = 2 p
Change		- 6 u		+ 6 u (+ 3 p)
After	4 u	3 u	4x1 = 4 p	5x1 = 5 p

Number of pomegranates that Betty transferred from Crate P to Crate Q
= ²₃ x 9 u
= 6 u

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

7 u = 224
1 u = 224 ÷ 7 = 32

The number of passion fruits in Crate Q is the unchanged quantity.
LCM of 2 and 4 is 4.

Number of pomegranates that Betty transferred from Crate P to Crate Q
= 6 u
= 6 x 32
= 192

Increase in the number of pomegranates that due to the transfer from Crate P to Crate Q
= 5 p - 2 p
= 3 p

3 p = 6 u 
3 p = 192

1 p = 192 ÷ 3 = 64

Number of fruits in Crate Q in the end
= 4 p + 5 p
= 9 p
= 9 x 64
= 576

Answer(s): 576