Mary had some persimmons and mangoes in 2 crates. In Crate L, the number of persimmons to the number of mangoes was in the ratio of 4 : 9. In Crate M, there were twice as many persimmons as mangoes. After Mary transferred ¹₃ of the mangoes from Crate L to Crate M, the number of fruits left in Crate L was 260 and the ratio of the number of persimmons to the number of mangoes in Crate B became 4 : 5. How many fruits were in Crate M in the end?

	Crate L		Crate M
	Persimmons	Mangoes	Persimmons	Mangoes
Before	4 u	9 u	2x2 =  4 p	1x2 = 2 p
Change		- 3 u		+ 3 u (+ 3 p)
After	4 u	6 u	4x1 = 4 p	5x1 = 5 p

Number of mangoes that Mary transferred from Crate L to Crate M
= ¹₃ x 9 u
= 3 u

Total number of fruits in Crate L in the end
= 4 u + 6 u
= 10 u

10 u = 260
1 u = 260 ÷ 10 = 26

The number of persimmons in Crate M is the unchanged quantity.
LCM of 2 and 4 is 4.

Number of mangoes that Mary transferred from Crate L to Crate M
= 3 u
= 3 x 26
= 78

Increase in the number of mangoes that due to the transfer from Crate L to Crate M
= 5 p - 2 p
= 3 p

3 p = 3 u 
3 p = 78

1 p = 78 ÷ 3 = 26

Number of fruits in Crate M in the end
= 4 p + 5 p
= 9 p
= 9 x 26
= 234

Answer(s): 234