Usha had some mangoes and pomegranates in 2 crates. In Crate E, the number of mangoes to the number of pomegranates was in the ratio of 2 : 9. In Crate F, there were four times as many mangoes as pomegranates. After Usha transferred ¹₃ of the pomegranates from Crate E to Crate F, the number of fruits left in Crate E was 304 and the ratio of the number of mangoes to the number of pomegranates in Crate B became 1 : 5. How many fruits were in Crate F in the end?

	Crate E		Crate F
	Mangoes	Pomegranates	Mangoes	Pomegranates
Before	2 u	9 u	4x1 =  4 p	1x1 = 1 p
Change		- 3 u		+ 3 u (+ 19 p)
After	2 u	6 u	1x4 = 4 p	5x4 = 20 p

Number of pomegranates that Usha transferred from Crate E to Crate F
= ¹₃ x 9 u
= 3 u

Total number of fruits in Crate E in the end
= 2 u + 6 u
= 8 u

8 u = 304
1 u = 304 ÷ 8 = 38

The number of mangoes in Crate F is the unchanged quantity.
LCM of 4 and 1 is 4.

Number of pomegranates that Usha transferred from Crate E to Crate F
= 3 u
= 3 x 38
= 114

Increase in the number of pomegranates that due to the transfer from Crate E to Crate F
= 20 p - 1 p
= 19 p

19 p = 3 u 
19 p = 114

1 p = 114 ÷ 19 = 6

Number of fruits in Crate F in the end
= 4 p + 20 p
= 24 p
= 24 x 6
= 144

Answer(s): 144