Zara had some apples and oranges in 2 crates. In Crate Q, the number of apples to the number of oranges was in the ratio of 5 : 6. In Crate R, there were twice as many apples as oranges. After Zara transferred ¹₃ of the oranges from Crate Q to Crate R, the number of fruits left in Crate Q was 126 and the ratio of the number of apples to the number of oranges in Crate B became 6 : 7. How many fruits were in Crate R in the end?

	Crate Q		Crate R
	Apples	Oranges	Apples	Oranges
Before	5 u	6 u	2x3 =  6 p	1x3 = 3 p
Change		- 2 u		+ 2 u (+ 4 p)
After	5 u	4 u	6x1 = 6 p	7x1 = 7 p

Number of oranges that Zara 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 = 126
1 u = 126 ÷ 9 = 14

The number of apples in Crate R is the unchanged quantity.
LCM of 2 and 6 is 6.

Number of oranges that Zara transferred from Crate Q to Crate R
= 2 u
= 2 x 14
= 28

Increase in the number of oranges that due to the transfer from Crate Q to Crate R
= 7 p - 3 p
= 4 p

4 p = 2 u 
4 p = 28

1 p = 28 ÷ 4 = 7

Number of fruits in Crate R in the end
= 6 p + 7 p
= 13 p
= 13 x 7
= 91

Answer(s): 91