Cindy had some oranges and kiwis in 2 crates. In Crate Q, the number of oranges to the number of kiwis was in the ratio of 5 : 6. In Crate R, there were four times as many oranges as kiwis. After Cindy transferred ¹₃ of the kiwis from Crate Q to Crate R, the number of fruits left in Crate Q was 135 and the ratio of the number of oranges to the number of kiwis in Crate B became 1 : 4. How many fruits were in Crate R in the end?

	Crate Q		Crate R
	Oranges	Kiwis	Oranges	Kiwis
Before	5 u	6 u	4x1 =  4 p	1x1 = 1 p
Change		- 2 u		+ 2 u (+ 15 p)
After	5 u	4 u	1x4 = 4 p	4x4 = 16 p

Number of kiwis that Cindy transferred from Crate Q to Crate R
= ¹₃ x 6 u
= 2 u

Total number of fruits in Crate Q in the end
= 5 u + 4 u
= 9 u

9 u = 135
1 u = 135 ÷ 9 = 15

The number of oranges in Crate R is the unchanged quantity.
LCM of 4 and 1 is 4.

Number of kiwis that Cindy transferred from Crate Q to Crate R
= 2 u
= 2 x 15
= 30

Increase in the number of kiwis that due to the transfer from Crate Q to Crate R
= 16 p - 1 p
= 15 p

15 p = 2 u 
15 p = 30

1 p = 30 ÷ 15 = 2

Number of fruits in Crate R in the end
= 4 p + 16 p
= 20 p
= 20 x 2
= 40

Answer(s): 40